Question

If 27, 36, x are in continued proportion, find the value of x.

Answer 1

27, 36 and x are in continued proportion.
Then, 27 : 36 :: 36 : x
⇒ $27\times x=36\times 36$ [Product of extremes = Product of means]
⇒ 27x = 1296
⇒ x = 48

Hence, the value of x is 48.