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Finding the Third Proportional to 87,264 and 136,512

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Solution

The third proportional to 87,264 and 136,512 is: 213,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 136,512 = 136,512 : x
  2. Step 2: Convert to fraction form
    87,264/136,512 = 136,512/x
  3. Step 3: Cross multiply
    87,264x = 136,512 × 136,512
  4. Step 4: Simplify right side
    87,264x = 18,635,526,144
  5. Step 5: Solve for x
    x = 18,635,526,144/87,264
  6. Step 6: Final answer
    x = 213,553.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.