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Finding the Third Proportional to 472,092 and 721,902

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Solution

The third proportional to 472,092 and 721,902 is: 1,103,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,092 : 721,902 = 721,902 : x
  2. Step 2: Convert to fraction form
    472,092/721,902 = 721,902/x
  3. Step 3: Cross multiply
    472,092x = 721,902 × 721,902
  4. Step 4: Simplify right side
    472,092x = 521,142,497,604
  5. Step 5: Solve for x
    x = 521,142,497,604/472,092
  6. Step 6: Final answer
    x = 1,103,900.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.