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Finding the Third Proportional to 87,856 and 193,232

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Solution

The third proportional to 87,856 and 193,232 is: 424,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,856 : 193,232 = 193,232 : x
  2. Step 2: Convert to fraction form
    87,856/193,232 = 193,232/x
  3. Step 3: Cross multiply
    87,856x = 193,232 × 193,232
  4. Step 4: Simplify right side
    87,856x = 37,338,605,824
  5. Step 5: Solve for x
    x = 37,338,605,824/87,856
  6. Step 6: Final answer
    x = 424,997.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.