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Finding the Third Proportional to 87,285 and 133,465

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Solution

The third proportional to 87,285 and 133,465 is: 204,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,285 : 133,465 = 133,465 : x
  2. Step 2: Convert to fraction form
    87,285/133,465 = 133,465/x
  3. Step 3: Cross multiply
    87,285x = 133,465 × 133,465
  4. Step 4: Simplify right side
    87,285x = 17,812,906,225
  5. Step 5: Solve for x
    x = 17,812,906,225/87,285
  6. Step 6: Final answer
    x = 204,077.52

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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.