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Finding the Third Proportional to 415,549 and 644,708

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Solution

The third proportional to 415,549 and 644,708 is: 1,000,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,549 : 644,708 = 644,708 : x
  2. Step 2: Convert to fraction form
    415,549/644,708 = 644,708/x
  3. Step 3: Cross multiply
    415,549x = 644,708 × 644,708
  4. Step 4: Simplify right side
    415,549x = 415,648,405,264
  5. Step 5: Solve for x
    x = 415,648,405,264/415,549
  6. Step 6: Final answer
    x = 1,000,239.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.