Proportion

Direct Proportion

Inverse Proportion

When two Ratios are equal, they are said to be in Proportion . When two Ratios are in Proportion we use the symbol ' :: ' or ' = '. to denote them. Read the following examples to learn more about Proportion:- Example :Check and discuss whether the following ratios are in proportion. A) 2 : 5 and 5 : 7 B) 7 : 3 and 56 : 24 C) 12 : 22 and 15 : 27 D) 44 : 8 and 22 : 4 E) 4 : 8 and 7 : 14 Answer = The proceeds is as : A) 2 : 5 and 5 : 7 Here, both the ratios are in lowest form and 2 : 5 ≠ 5 : 7 So, we can say that the given Ratios are not in proportion. B) 7 : 3 and 56 : 24 Here, First Ratio(7:3) is in Lowest From: but Second Ratio(56:24) needs to be converted into Lowest Form: 56 : 24 = 7 : 3 (Lowest Form) Lowest Forms of both ratios are equal, So, 7 : 3 :: 56 : 24 (both are in proportion) C) 12 : 22 and 15 : 27 Firstly, convert the ratios into Lowest Form 12 : 22 = 6 : 11(Lowest Form) 15 : 27 = 5 : 9 (Lowest Form) Lowest Forms of both ratios are not equal, So, 12 : 22 ≠ 15 : 27 (both are not in proportion) D) 44 : 8 and 22 : 4 Firstly, convert the ratios into Lowest Form 44 : 8 = 11 : 2 (Lowest Form) 22 : 4 = 11 : 2 (Lowest Form) Lowest Forms of both ratios are equal, So, 44 : 8 :: 22 : 4 (both are in proportion) E) 4 : 8 and 7 : 14 Firstly, convert the ratios into Lowest Form 4 : 8 = 1: 2 (Lowest Form) 7 : 14 = 1 : 2 (Lowest Form) Lowest Forms of both ratios are equal, So, 4 : 8 :: 7 : 14 (both are in proportion) Study More Solved Questions / Examples Find the value of Y in proportion A) 6 : Y :: 3 : 7 B) 4 : 6 :: Y : 12 C) 8 : 10 :: 4 : Y