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Finding the Third Proportional to 87,631 and 131,297

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Solution

The third proportional to 87,631 and 131,297 is: 196,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,631 : 131,297 = 131,297 : x
  2. Step 2: Convert to fraction form
    87,631/131,297 = 131,297/x
  3. Step 3: Cross multiply
    87,631x = 131,297 × 131,297
  4. Step 4: Simplify right side
    87,631x = 17,238,902,209
  5. Step 5: Solve for x
    x = 17,238,902,209/87,631
  6. Step 6: Final answer
    x = 196,721.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.