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Finding the Third Proportional to 87,622 and 131,287

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Solution

The third proportional to 87,622 and 131,287 is: 196,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,622 : 131,287 = 131,287 : x
  2. Step 2: Convert to fraction form
    87,622/131,287 = 131,287/x
  3. Step 3: Cross multiply
    87,622x = 131,287 × 131,287
  4. Step 4: Simplify right side
    87,622x = 17,236,276,369
  5. Step 5: Solve for x
    x = 17,236,276,369/87,622
  6. Step 6: Final answer
    x = 196,711.74

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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.