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Finding the Third Proportional to 87,937 and 136,367

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Solution

The third proportional to 87,937 and 136,367 is: 211,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,937 : 136,367 = 136,367 : x
  2. Step 2: Convert to fraction form
    87,937/136,367 = 136,367/x
  3. Step 3: Cross multiply
    87,937x = 136,367 × 136,367
  4. Step 4: Simplify right side
    87,937x = 18,595,958,689
  5. Step 5: Solve for x
    x = 18,595,958,689/87,937
  6. Step 6: Final answer
    x = 211,469.11

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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.