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Finding the Third Proportional to 126,479 and 279,751

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Solution

The third proportional to 126,479 and 279,751 is: 618,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,479 : 279,751 = 279,751 : x
  2. Step 2: Convert to fraction form
    126,479/279,751 = 279,751/x
  3. Step 3: Cross multiply
    126,479x = 279,751 × 279,751
  4. Step 4: Simplify right side
    126,479x = 78,260,622,001
  5. Step 5: Solve for x
    x = 78,260,622,001/126,479
  6. Step 6: Final answer
    x = 618,763.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.