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Finding the Third Proportional to 276,498 and 647,469

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Solution

The third proportional to 276,498 and 647,469 is: 1,516,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,498 : 647,469 = 647,469 : x
  2. Step 2: Convert to fraction form
    276,498/647,469 = 647,469/x
  3. Step 3: Cross multiply
    276,498x = 647,469 × 647,469
  4. Step 4: Simplify right side
    276,498x = 419,216,105,961
  5. Step 5: Solve for x
    x = 419,216,105,961/276,498
  6. Step 6: Final answer
    x = 1,516,163.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.