Finding the Third Proportional to 3,872 and 7,304
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Solution
The third proportional to 3,872 and 7,304 is: 13,778
Step by Step Solution
- Step 1: Write the proportion equation
3,872 : 7,304 = 7,304 : x - Step 2: Convert to fraction form
3,872/7,304 = 7,304/x - Step 3: Cross multiply
3,872x = 7,304 × 7,304 - Step 4: Simplify right side
3,872x = 53,348,416 - Step 5: Solve for x
x = 53,348,416/3,872 - Step 6: Final answer
x = 13,778
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.