Question

If 1/5:1/x=1/x:1/1.25 then the value of x is

Answer 1

1/5 : 1/x = 1 /x : 1/1.25

=> (1/5 ÷ 1/x) = (1/x ÷ 1/1.25)

=> x/5 = 1.25 / x

=> x^2 = 6.25

=> x = 2.5

Answer 2

As pwr the question,
1/5 : 1/x = 1/x : 1/1.25.

=> 1/5 : 1/x = x/5 ....(1)
=> 1/x : 1/1.25 = 1.25/x .....(2)

As eq(1) and eq(2) are equal,
So, x/5 = 1.25/x
=> x² = 1.25*5
=> x = ± 2.5