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Finding the Third Proportional to 415,866 and 626,757

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Solution

The third proportional to 415,866 and 626,757 is: 944,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,866 : 626,757 = 626,757 : x
  2. Step 2: Convert to fraction form
    415,866/626,757 = 626,757/x
  3. Step 3: Cross multiply
    415,866x = 626,757 × 626,757
  4. Step 4: Simplify right side
    415,866x = 392,824,337,049
  5. Step 5: Solve for x
    x = 392,824,337,049/415,866
  6. Step 6: Final answer
    x = 944,593.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.