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Finding the Third Proportional to 81,286 and 129,799

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Solution

The third proportional to 81,286 and 129,799 is: 207,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,286 : 129,799 = 129,799 : x
  2. Step 2: Convert to fraction form
    81,286/129,799 = 129,799/x
  3. Step 3: Cross multiply
    81,286x = 129,799 × 129,799
  4. Step 4: Simplify right side
    81,286x = 16,847,780,401
  5. Step 5: Solve for x
    x = 16,847,780,401/81,286
  6. Step 6: Final answer
    x = 207,265.46

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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.