•If 2 numbers are in ratio a: b then consider them as ax and bx (where x is the proportionality constant) and apply ax and bx in the given condition of the problem to proceed for answer

•Ratio can be applied between 2 units if and only if the same physical quantity is compared •Length : length is correct
•Length : density is wrong

•Ratio can be made only after the units are compared in the same unit •If two lengths are 1 mile and 1 km respectively then ratio 1:1 is incorrect. •It should be 1.6:1 = 16:10 = 8:5 being converted to km

•Ratio of a to b = a : b = a / b where a and b are the terms of ratio wherein a = first term = antecedent and b = second term = consequent

•In a problem, to maintain the same ratio, if the antecedent is multiplied / divided by an integer / fraction then the consequent must be multiplied / divided by the same integer / fraction

•Ratio is expressed in lowest terms.

•As every number corresponds to its part in ratio, it is involved so the number of unit differences in the ratio, expressed in lowest terms, corresponds to the actual difference of true figures. Hence similar is with the aggregate values.

•If a number is to be proportionately changed in a given ratio then the antecedent refers to the given number. Hence find the proportionality constant (number / antecedent) and multiply this constant with the consequent to get the answer. If 25 is to be changed in ratio 5:7 then 25 is represented by 5, so constant is 25/5 = 5, hence answer is 5x7 = 35

•In a given ratio a : b
•If a > b then ratio is of greater inequality
•If a < b then ratio is of lesser / less inequality
•The inverse ratio is b : a
•Duplicate ratio is a2 : b2
•Triplicate ratio is a3 : b3
•Subduplicate ratio is √a : √b
•Subtriplicate ratio is 3√a : 3√b
•Commensurable if a and b are integers
•Incommensurable if a and b are not integers

•The compounded ratio of (a1: b1), (a2 : b2) and (a3 : b3)...

...Lesson Guide for Chapter 7: Ratio and Proportion
Write a proportion problem. Design the problem so that the solution is “Leslie would need 16 gal ofgasoline in order to travel 368 mi.”
-Leslie drove from her house to the grocery store last monday the grocery store is 2.875 miles away from her house. She used 1/4 gallon of gas driving to the grocery and back home. At this rate how many gallons of gas would she use to drive to her parents house who...

...Proportions in mathematics can be viewed from a few perspectives. For instance, the proportionality of two variable values is determined by checking if one of the values is the product of the other value and some constant. In other words, two variable values (numbers or quantities) are proportional if their ratio is a constant, called the coefficient of proportionality or the proportionality constant. This is best explained using the linear equation:
y = k*x...

...Solving Proportions
Problem 1
Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?
I think using a simple ratio equation would work here,
let b = bear population
=
cross multiply
2b = 50*100
2b=5000...

...The Golden Ratio: Natures Beautiful Proportion
At first glance of the title, many may wonder: What is the Golden Ratio? There are many names the Golden Ratio has been called including the Golden Angle, the Golden Section, the Divine Proportion, the Golden Cut, the Golden Number et cetera, but what is it and how is it useful for society today? One may have heard of the number π (Pi 3.14159265…) but less common is π’s...

...
Solving Proportions
MATT222 Intermediate Algebra
A comparison of two numbers is referred to as a ratio, similar to fractions that can be reduced to lowest terms and then converted into a ratio of integers. Ratios allow one to compare sizes of two quantities and unit measurements. Any statement expressing the equality of two ratios is known as a proportion, which is used in numerous...

...Ratio analysis
Debt ratio
Debt ratio (2006-2007) = Total liabilities / Total assets = 10,170/12,064 = 0.84
Debt ratio (2007-2008) = 9,210/11,769 =
Debt ratio (2008-2009) = 10,003/11,229 =
Debt ratio (2009-2010) = 11,043/12,537 =
Current ratio
Current ratio (2006-2007) = Current assets / Current liabilities = 3,424/4,790 = 0.71
Current ratio (2007-2008) =...

...
CASE BASED SYNOPSIS
ON
HOW EXACTLY HAVE COMPUTERIZATION AND INFORMATION TECHNOLOGY LOWERED COSTS AT CHEVRON AND MERCK ?
1.1 INTRODUCTION TO COMPANIES
Chevron Corporation
Chevron Corporation is an American multinational energy corporation. Headquartered in San Ramon, California, and active in more than 180 countries, it is engaged in every aspect of the oil, gas, and geothermal energy industries, including exploration and production; refining,...

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