Select the correct answerWhat is the third proportional to 10 to 20?Options30504025

Break Down the Problem

1. Determine the concept of the third proportional. If $a$ and $b$ are two numbers, the third proportional $c$ can be found using the proportion $\frac{a}{b} = \frac{b}{c}$.

Relevant Concepts

2. Given:
   • $a = 10$
   • $b = 20$.
   • We need to find $c$ such that $\frac{10}{20} = \frac{20}{c}$.

Analysis and Detail

3. Set up the equation based on the proportional relationship: $\frac{10}{20} = \frac{20}{c}$ Cross-multiplying gives: $10c = 20 \times 20$ $10c = 400$ Divide both sides by 10: $c = \frac{400}{10} = 40$

Verify and Summarize

4. We checked and verified the calculation. The third proportional to 10 and 20 is indeed 40.

Final Answer

The third proportional to 10 and 20 is 40.