Question

In a proportion, the Ist, 2nd and 4th terms are 51, 68 and 108 respectively. Find the
3rd term.​

Answer 1

Answer:

1st = 51

2nd = 68

4th = 108

Let,The third term is = 51:68 :: x :108

Product of extremes = Product of means

51×108 = 68×x

5,508 = 68x

5,508/68 = x

81 = x

x = 81 .

Thus, the third term is 81 .

Answer 2

Let, The 3rd term be X.

Thus, 51 : 68 :: X : 108

We know that,

_____________________

Products of extremes = Products of means⤵️

51 × 108 = 68 × X

$\red \implies \sf5508 = 68x \\ \green \implies \sf{x = \frac{5508}{68} = 81}$

$\sf hence \: the \: \purple{third \: tearm} \: is \: \to \: \red{81}$