Question

5.
If 8, x and 50 are in continued proportion, then find 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

Given:

8, $x$ , and 50 are in continued proportion.

To Find:

The value of $x$.

Solution:

It is given that 8,$x$ and 50 are in continued proportion.

We know that three numbers $p,q,r$ are in continued proportion if they satisfy

$\frac{p}{q} =\frac{q}{r}$

So, according to the problem

   $\frac{8}{x} =\frac{x}{50}$

⇒ $x^2=400$

⇒ $x=20$ or $-20$

Hence, the values of $x$ for which the three given numbers are in continued proportion are 20 and -20.

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