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Finding the Third Proportional to 81,274 and 129,782

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Solution

The third proportional to 81,274 and 129,782 is: 207,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,274 : 129,782 = 129,782 : x
  2. Step 2: Convert to fraction form
    81,274/129,782 = 129,782/x
  3. Step 3: Cross multiply
    81,274x = 129,782 × 129,782
  4. Step 4: Simplify right side
    81,274x = 16,843,367,524
  5. Step 5: Solve for x
    x = 16,843,367,524/81,274
  6. Step 6: Final answer
    x = 207,241.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.