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Finding the Third Proportional to 87,494 and 129,396

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Solution

The third proportional to 87,494 and 129,396 is: 191,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,494 : 129,396 = 129,396 : x
  2. Step 2: Convert to fraction form
    87,494/129,396 = 129,396/x
  3. Step 3: Cross multiply
    87,494x = 129,396 × 129,396
  4. Step 4: Simplify right side
    87,494x = 16,743,324,816
  5. Step 5: Solve for x
    x = 16,743,324,816/87,494
  6. Step 6: Final answer
    x = 191,365.41

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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.