Question : The third proportional to 7 and 63 is:
Option 1: 576
Option 2: 567
Option 3: 441
Option 4: 625
Correct Answer: 567
Solution :
Let the third proportional be $x$.
7, 63, and $x$ are in proportion then 7 : 63 : : 63 : $x$.
So, $\frac{7}{63}=\frac{63}{x}$
⇒ $x=63×9$
$\therefore x =567$
So, the third proportional to 7 and 63 is 567.
Hence, the correct answer is 567.
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