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Finding the Third Proportional to 85,976 and 132,800

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Solution

The third proportional to 85,976 and 132,800 is: 205,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,976 : 132,800 = 132,800 : x
  2. Step 2: Convert to fraction form
    85,976/132,800 = 132,800/x
  3. Step 3: Cross multiply
    85,976x = 132,800 × 132,800
  4. Step 4: Simplify right side
    85,976x = 17,635,840,000
  5. Step 5: Solve for x
    x = 17,635,840,000/85,976
  6. Step 6: Final answer
    x = 205,125.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.