145 is divided into two parts, a andb, such that a:b::2:3. Also, a:c::c:b and c>0. Find the value of c, correct to the nearest integer.

Correct option is D

Given:

Ratio in which the number 145 is divided = 2:3

Formula Used:

If the numbers a,b,c and d are in proportions then:

a:b::c:d

​$$a \times d = b \times c$$​​

Solution:

Let the ratio a and b = 2x and 3x

2x+3x = 145

5x=145

x =29

a= 2x = 58

b= 3x = 87

Now a:c::c:b = 58:c::c:87

​$$c^2 = 58 \times 87$$​​

​$$c= \sqrt{5046}$$​ = 71.03