Question : If 18, $x$, and 50 are continued proportions, then the value of $x$ is:
Option 1: 30
Option 2: 3
Option 3: 5
Option 4: 32
Answer (1)
19th Jan, 2024
Correct Answer: 30
Solution :
Given: 18, $x$ and 50 are continued proportions.
Since, 18, $x$ and 50 are continued proportions,
i.e., $18:x::x:50$
⇒ $\frac{18}{x}=\frac{x}{50}$
⇒ $x^2=18×50$
⇒ $x=\sqrt{900}$
$\therefore x=30$
Hence, the correct answer is 30.
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