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Finding the Third Proportional to 276,417 and 580,689

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Solution

The third proportional to 276,417 and 580,689 is: 1,219,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,417 : 580,689 = 580,689 : x
  2. Step 2: Convert to fraction form
    276,417/580,689 = 580,689/x
  3. Step 3: Cross multiply
    276,417x = 580,689 × 580,689
  4. Step 4: Simplify right side
    276,417x = 337,199,714,721
  5. Step 5: Solve for x
    x = 337,199,714,721/276,417
  6. Step 6: Final answer
    x = 1,219,894.99

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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.