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Finding the Third Proportional to 87,543 and 192,105

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Solution

The third proportional to 87,543 and 192,105 is: 421,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,543 : 192,105 = 192,105 : x
  2. Step 2: Convert to fraction form
    87,543/192,105 = 192,105/x
  3. Step 3: Cross multiply
    87,543x = 192,105 × 192,105
  4. Step 4: Simplify right side
    87,543x = 36,904,331,025
  5. Step 5: Solve for x
    x = 36,904,331,025/87,543
  6. Step 6: Final answer
    x = 421,556.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.