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Finding the Third Proportional to 87,257 and 138,391

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Solution

The third proportional to 87,257 and 138,391 is: 219,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,257 : 138,391 = 138,391 : x
  2. Step 2: Convert to fraction form
    87,257/138,391 = 138,391/x
  3. Step 3: Cross multiply
    87,257x = 138,391 × 138,391
  4. Step 4: Simplify right side
    87,257x = 19,152,068,881
  5. Step 5: Solve for x
    x = 19,152,068,881/87,257
  6. Step 6: Final answer
    x = 219,490.34

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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.