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Finding the Third Proportional to 87,846 and 192,420

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Solution

The third proportional to 87,846 and 192,420 is: 421,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,846 : 192,420 = 192,420 : x
  2. Step 2: Convert to fraction form
    87,846/192,420 = 192,420/x
  3. Step 3: Cross multiply
    87,846x = 192,420 × 192,420
  4. Step 4: Simplify right side
    87,846x = 37,025,456,400
  5. Step 5: Solve for x
    x = 37,025,456,400/87,846
  6. Step 6: Final answer
    x = 421,481.42

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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.