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Finding the Third Proportional to 87,345 and 133,560

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Solution

The third proportional to 87,345 and 133,560 is: 204,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,345 : 133,560 = 133,560 : x
  2. Step 2: Convert to fraction form
    87,345/133,560 = 133,560/x
  3. Step 3: Cross multiply
    87,345x = 133,560 × 133,560
  4. Step 4: Simplify right side
    87,345x = 17,838,273,600
  5. Step 5: Solve for x
    x = 17,838,273,600/87,345
  6. Step 6: Final answer
    x = 204,227.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.