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Finding the Third Proportional to 87,498 and 129,399.75

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Solution

The third proportional to 87,498 and 129,399.75 is: 191,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,498 : 129,399.75 = 129,399.75 : x
  2. Step 2: Convert to fraction form
    87,498/129,399.75 = 129,399.75/x
  3. Step 3: Cross multiply
    87,498x = 129,399.75 × 129,399.75
  4. Step 4: Simplify right side
    87,498x = 16,744,295,300.06
  5. Step 5: Solve for x
    x = 16,744,295,300.06/87,498
  6. Step 6: Final answer
    x = 191,367.75

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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.