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Finding the Third Proportional to 87,356 and 131,756

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Solution

The third proportional to 87,356 and 131,756 is: 198,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356 : 131,756 = 131,756 : x
  2. Step 2: Convert to fraction form
    87,356/131,756 = 131,756/x
  3. Step 3: Cross multiply
    87,356x = 131,756 × 131,756
  4. Step 4: Simplify right side
    87,356x = 17,359,643,536
  5. Step 5: Solve for x
    x = 17,359,643,536/87,356
  6. Step 6: Final answer
    x = 198,722.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.