Question

a, b, c are in continued proportion. If a = 3 and c = 27 then find b.

Answer 1

It is given that 3, b, 27 are in continued proportion.

`therefore 3/b = b/27`

⇒ `b^2 = 3 xx 27`

⇒ `b^2 = 81`

⇒ `b = sqrt81 = 9`

Thus, the value of b is 9.