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Finding the Third Proportional to 86,682 and 129,451

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Solution

The third proportional to 86,682 and 129,451 is: 193,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,682 : 129,451 = 129,451 : x
  2. Step 2: Convert to fraction form
    86,682/129,451 = 129,451/x
  3. Step 3: Cross multiply
    86,682x = 129,451 × 129,451
  4. Step 4: Simplify right side
    86,682x = 16,757,561,401
  5. Step 5: Solve for x
    x = 16,757,561,401/86,682
  6. Step 6: Final answer
    x = 193,322.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.