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Finding the Third Proportional to 87,142 and 130,366

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Solution

The third proportional to 87,142 and 130,366 is: 195,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,142 : 130,366 = 130,366 : x
  2. Step 2: Convert to fraction form
    87,142/130,366 = 130,366/x
  3. Step 3: Cross multiply
    87,142x = 130,366 × 130,366
  4. Step 4: Simplify right side
    87,142x = 16,995,293,956
  5. Step 5: Solve for x
    x = 16,995,293,956/87,142
  6. Step 6: Final answer
    x = 195,029.88

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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.