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Finding the Third Proportional to 276,400 and 580,663

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Solution

The third proportional to 276,400 and 580,663 is: 1,219,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,400 : 580,663 = 580,663 : x
  2. Step 2: Convert to fraction form
    276,400/580,663 = 580,663/x
  3. Step 3: Cross multiply
    276,400x = 580,663 × 580,663
  4. Step 4: Simplify right side
    276,400x = 337,169,519,569
  5. Step 5: Solve for x
    x = 337,169,519,569/276,400
  6. Step 6: Final answer
    x = 1,219,860.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.