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Finding the Third Proportional to 87,509 and 132,063

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Solution

The third proportional to 87,509 and 132,063 is: 199,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,509 : 132,063 = 132,063 : x
  2. Step 2: Convert to fraction form
    87,509/132,063 = 132,063/x
  3. Step 3: Cross multiply
    87,509x = 132,063 × 132,063
  4. Step 4: Simplify right side
    87,509x = 17,440,635,969
  5. Step 5: Solve for x
    x = 17,440,635,969/87,509
  6. Step 6: Final answer
    x = 199,301.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.