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Finding the Third Proportional to 276,420 and 580,692

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Solution

The third proportional to 276,420 and 580,692 is: 1,219,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,420 : 580,692 = 580,692 : x
  2. Step 2: Convert to fraction form
    276,420/580,692 = 580,692/x
  3. Step 3: Cross multiply
    276,420x = 580,692 × 580,692
  4. Step 4: Simplify right side
    276,420x = 337,203,198,864
  5. Step 5: Solve for x
    x = 337,203,198,864/276,420
  6. Step 6: Final answer
    x = 1,219,894.36

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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.