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Finding the Third Proportional to 276,446 and 580,720

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Solution

The third proportional to 276,446 and 580,720 is: 1,219,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,446 : 580,720 = 580,720 : x
  2. Step 2: Convert to fraction form
    276,446/580,720 = 580,720/x
  3. Step 3: Cross multiply
    276,446x = 580,720 × 580,720
  4. Step 4: Simplify right side
    276,446x = 337,235,718,400
  5. Step 5: Solve for x
    x = 337,235,718,400/276,446
  6. Step 6: Final answer
    x = 1,219,897.26

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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.