Question

Find x if ,2x,200 are in continued proportion

Answer 1

Answer: considering given numbers x , 2x and 200 are in geometric proportions and on solving we get

x = 50

Step-by-step explanation:

1) if a, b , c are in geometric progression,

Middle term (b) = square root of (product of a and c)

2) b = square root of ( a× c)

3) 2x = √(x × 200) ; where a= x ; b= 2x ; c= 200.

4) (2x)^2 = x × 200 since squaring on both

sides

5) on solving we get 4x = 200

6) therefore , x = 50