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Finding the Third Proportional to 87,830 and 131,505

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Solution

The third proportional to 87,830 and 131,505 is: 196,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,830 : 131,505 = 131,505 : x
  2. Step 2: Convert to fraction form
    87,830/131,505 = 131,505/x
  3. Step 3: Cross multiply
    87,830x = 131,505 × 131,505
  4. Step 4: Simplify right side
    87,830x = 17,293,565,025
  5. Step 5: Solve for x
    x = 17,293,565,025/87,830
  6. Step 6: Final answer
    x = 196,898.16

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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.