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Finding the Third Proportional to 502,650 and 660,663

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Solution

The third proportional to 502,650 and 660,663 is: 868,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,650 : 660,663 = 660,663 : x
  2. Step 2: Convert to fraction form
    502,650/660,663 = 660,663/x
  3. Step 3: Cross multiply
    502,650x = 660,663 × 660,663
  4. Step 4: Simplify right side
    502,650x = 436,475,599,569
  5. Step 5: Solve for x
    x = 436,475,599,569/502,650
  6. Step 6: Final answer
    x = 868,348.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.