Question

if 14,42,xare in continued proportion find the value ofx​

Answer 1

14=42

14=14*3

x=42*3=126

Answer 2

$\huge{\underline{\underline{\tt{Question :-}}}}$

If 14, 42 and x are in continued proportion, find the value of x


$\huge{\underline{\underline{\tt{Solution :-}}}}$

The numbers is the continued proportion are in the form of $\dfrac{a}{b} = \dfrac{b}{c}$

Here, a = 14, b = 42 and c = x

$\dfrac{14}{42} = \dfrac{42}{x}$

Cross multiply

☛ 14x = 42 × 42

Multiply

☛ 14x = 1764

Divide both the sides by 14

∴ x = 126


∴ The value of x is $\boxed{\boxed{\tt{126}}}$