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Finding the Third Proportional to 140,165 and 217,631

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Solution

The third proportional to 140,165 and 217,631 is: 337,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,165 : 217,631 = 217,631 : x
  2. Step 2: Convert to fraction form
    140,165/217,631 = 217,631/x
  3. Step 3: Cross multiply
    140,165x = 217,631 × 217,631
  4. Step 4: Simplify right side
    140,165x = 47,363,252,161
  5. Step 5: Solve for x
    x = 47,363,252,161/140,165
  6. Step 6: Final answer
    x = 337,910.69

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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.