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Finding the Third Proportional to 126,477 and 279,747

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Solution

The third proportional to 126,477 and 279,747 is: 618,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,477 : 279,747 = 279,747 : x
  2. Step 2: Convert to fraction form
    126,477/279,747 = 279,747/x
  3. Step 3: Cross multiply
    126,477x = 279,747 × 279,747
  4. Step 4: Simplify right side
    126,477x = 78,258,384,009
  5. Step 5: Solve for x
    x = 78,258,384,009/126,477
  6. Step 6: Final answer
    x = 618,755.85

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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.