Question

If 18 x 50 are in continued proportion find the value of x

Answer 1

Answer:

x= 30 or x=-30

Step-by-step explanation:

As it is given that 18 , x and 50 are in continued proportion

by proportionality law if a ,b and c are in continued proportion then

a :b = b: c

so for the given values applying these

then it will become

18 : x = x : 50

also a:b= $\frac{a}{b}$

so

$\frac{18}{x}=\frac{x}{50}$

cross multiplying

18 * 50 = x²

900 =x²

taking square root of both sides

±$\sqrt{900}=\sqrt{x^{2} }$

x=±30

Answer 2

Answer:

X = 30 or -30.

Step-by-step explanation:

Continued proportion is a unique relation between three numbers a,b and c such that if a b c are in continued proportion, then,

a : b = b: c

Hence, 18 / X = X / 50

X^2 = 900

X = 30 , -30