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Finding the Third Proportional to 276,856 and 424,422

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Solution

The third proportional to 276,856 and 424,422 is: 650,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,856 : 424,422 = 424,422 : x
  2. Step 2: Convert to fraction form
    276,856/424,422 = 424,422/x
  3. Step 3: Cross multiply
    276,856x = 424,422 × 424,422
  4. Step 4: Simplify right side
    276,856x = 180,134,034,084
  5. Step 5: Solve for x
    x = 180,134,034,084/276,856
  6. Step 6: Final answer
    x = 650,641.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.