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Finding the Third Proportional to 276,440 and 580,726

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Solution

The third proportional to 276,440 and 580,726 is: 1,219,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,440 : 580,726 = 580,726 : x
  2. Step 2: Convert to fraction form
    276,440/580,726 = 580,726/x
  3. Step 3: Cross multiply
    276,440x = 580,726 × 580,726
  4. Step 4: Simplify right side
    276,440x = 337,242,687,076
  5. Step 5: Solve for x
    x = 337,242,687,076/276,440
  6. Step 6: Final answer
    x = 1,219,948.95

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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.