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Finding the Third Proportional to 87,192 and 188,828

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Solution

The third proportional to 87,192 and 188,828 is: 408,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,192 : 188,828 = 188,828 : x
  2. Step 2: Convert to fraction form
    87,192/188,828 = 188,828/x
  3. Step 3: Cross multiply
    87,192x = 188,828 × 188,828
  4. Step 4: Simplify right side
    87,192x = 35,656,013,584
  5. Step 5: Solve for x
    x = 35,656,013,584/87,192
  6. Step 6: Final answer
    x = 408,936.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.