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Finding the Third Proportional to 656,989 and 726,109

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Solution

The third proportional to 656,989 and 726,109 is: 802,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,989 : 726,109 = 726,109 : x
  2. Step 2: Convert to fraction form
    656,989/726,109 = 726,109/x
  3. Step 3: Cross multiply
    656,989x = 726,109 × 726,109
  4. Step 4: Simplify right side
    656,989x = 527,234,279,881
  5. Step 5: Solve for x
    x = 527,234,279,881/656,989
  6. Step 6: Final answer
    x = 802,500.92

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.