If 2.5 : 40.6 :: 40.6 : x, then find the value of x

Correct option is D

Given:

Proportion: 2.5 : 40.6 :: 40.6 : x

This is a continued proportion.

Concept Used:

In continued proportion a : b :: b : c,

then b² = a × c

Solution:​

2.5 : 40.6 :: 40.6 : x

x = $$\frac{(40.6)^2}{2.5} = \frac{1648.36}{2.5}$$​ = 659.344