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Finding the Third Proportional to 472,542 and 726,309

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Solution

The third proportional to 472,542 and 726,309 is: 1,116,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,542 : 726,309 = 726,309 : x
  2. Step 2: Convert to fraction form
    472,542/726,309 = 726,309/x
  3. Step 3: Cross multiply
    472,542x = 726,309 × 726,309
  4. Step 4: Simplify right side
    472,542x = 527,524,763,481
  5. Step 5: Solve for x
    x = 527,524,763,481/472,542
  6. Step 6: Final answer
    x = 1,116,355.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.