Ratio and Proportion

A ratio is a comparison of two quantities. A proportion is an equality of two ratios.

Ratio and Proportion

A ratio is an expression.
A proportion is an equation.
The ratio refers to the relationship between the quantities of two or more objects and it indicates the amount of one object contained in the other.
Proportion refers to a part, share, or number considered in relation to a whole, majorly a comparative relation.
Two equivalent ratios are always in proportion.

1.1

a= 8 and b= 2 , then find mean proportion of a and b.

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1.2

a:x::x:b where a= 9 and x= 4 , then find the value of b.

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1.3

a= 6 ,b= 8 ,c= 4 ,d= 5,e= 3 and f= 1 , then find compound ratio of these numbers.

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1.4

Find the duplicate and sub-duplicate ratio of a:b where a= 4 and b= 4 .

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1.5

Find the triplicate and sub-triplicate ratio of a:b where a= 2 and b= 6 .

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1.6

Find the inverse or reciprocal ratio of a:b where a= 6 and b= 3 .

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1.7

Find the third proportion of a:b where a= 7 and b= 1 .

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1.8

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1.9

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1.10

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1.11

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1.12

If X is divide into a:b ratio where a= 3 and b= 2 then find first part of X.

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1.13

If X is divide into a:b ratio where a= 8 and b= 4 then find second part of X.

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1.14

If X is divide into a:b:c ratio where a= 7 and b= 5 and c= 2 then find first part of X.

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1.15

If X is divide into a:b:c ratio where a= 2 and b= 4 and c= 2 then find second part of X.

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1.16

If X is divide into a:b:c ratio where a= 7 and b= 7 and c= 7 then third first part of X.

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1.17

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1.18

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1.19

Find the value of x.

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1.20

If A:B=6:3, B:C=$3:3 ,then find A:C

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1.21

If A:B=4:5, B:C=5:3 and C:D=3:1 ,then find A:D

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1.22

If A:B=5:4, B:C=4:2,C:D=2:6 and D:E=6:2 ,then find A:E

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1.23

If x:y =6:3 then find the value of 6 x²+ 6 y²: 6 x²-9 y^{2 .}

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1.24

If x:y =5:1 then find the value of (3 x+ 4 y) : (5 x - 2 y) .

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1.25

If (x+y): (x-y)=3:8 then find the value of (x²+y²) : (x²-y²) .

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