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Finding the Third Proportional to 457,008 and 729,792

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Solution

The third proportional to 457,008 and 729,792 is: 1,165,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,008 : 729,792 = 729,792 : x
  2. Step 2: Convert to fraction form
    457,008/729,792 = 729,792/x
  3. Step 3: Cross multiply
    457,008x = 729,792 × 729,792
  4. Step 4: Simplify right side
    457,008x = 532,596,363,264
  5. Step 5: Solve for x
    x = 532,596,363,264/457,008
  6. Step 6: Final answer
    x = 1,165,398.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.