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Finding the Third Proportional to 126,990 and 279,049

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Solution

The third proportional to 126,990 and 279,049 is: 613,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,990 : 279,049 = 279,049 : x
  2. Step 2: Convert to fraction form
    126,990/279,049 = 279,049/x
  3. Step 3: Cross multiply
    126,990x = 279,049 × 279,049
  4. Step 4: Simplify right side
    126,990x = 77,868,344,401
  5. Step 5: Solve for x
    x = 77,868,344,401/126,990
  6. Step 6: Final answer
    x = 613,184.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.