Finding the Third Proportional to 629 and 647
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Solution
The third proportional to 629 and 647 is: 665.52
Step by Step Solution
- Step 1: Write the proportion equation
629 : 647 = 647 : x - Step 2: Convert to fraction form
629/647 = 647/x - Step 3: Cross multiply
629x = 647 × 647 - Step 4: Simplify right side
629x = 418,609 - Step 5: Solve for x
x = 418,609/629 - Step 6: Final answer
x = 665.52
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.