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Finding the Third Proportional to 87,232 and 138,352

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Solution

The third proportional to 87,232 and 138,352 is: 219,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,232 : 138,352 = 138,352 : x
  2. Step 2: Convert to fraction form
    87,232/138,352 = 138,352/x
  3. Step 3: Cross multiply
    87,232x = 138,352 × 138,352
  4. Step 4: Simplify right side
    87,232x = 19,141,275,904
  5. Step 5: Solve for x
    x = 19,141,275,904/87,232
  6. Step 6: Final answer
    x = 219,429.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.