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Finding the Third Proportional to 87,496 and 129,399

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Solution

The third proportional to 87,496 and 129,399 is: 191,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,496 : 129,399 = 129,399 : x
  2. Step 2: Convert to fraction form
    87,496/129,399 = 129,399/x
  3. Step 3: Cross multiply
    87,496x = 129,399 × 129,399
  4. Step 4: Simplify right side
    87,496x = 16,744,101,201
  5. Step 5: Solve for x
    x = 16,744,101,201/87,496
  6. Step 6: Final answer
    x = 191,369.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.