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Finding the Third Proportional to 140,812 and 217,902

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Solution

The third proportional to 140,812 and 217,902 is: 337,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,812 : 217,902 = 217,902 : x
  2. Step 2: Convert to fraction form
    140,812/217,902 = 217,902/x
  3. Step 3: Cross multiply
    140,812x = 217,902 × 217,902
  4. Step 4: Simplify right side
    140,812x = 47,481,281,604
  5. Step 5: Solve for x
    x = 47,481,281,604/140,812
  6. Step 6: Final answer
    x = 337,196.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.