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Finding the Third Proportional to 87,489 and 129,388.50

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Solution

The third proportional to 87,489 and 129,388.50 is: 191,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,489 : 129,388.50 = 129,388.50 : x
  2. Step 2: Convert to fraction form
    87,489/129,388.50 = 129,388.50/x
  3. Step 3: Cross multiply
    87,489x = 129,388.50 × 129,388.50
  4. Step 4: Simplify right side
    87,489x = 16,741,383,932.25
  5. Step 5: Solve for x
    x = 16,741,383,932.25/87,489
  6. Step 6: Final answer
    x = 191,354.16

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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.