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Finding the Third Proportional to 276,332 and 422,517

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Solution

The third proportional to 276,332 and 422,517 is: 646,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,332 : 422,517 = 422,517 : x
  2. Step 2: Convert to fraction form
    276,332/422,517 = 422,517/x
  3. Step 3: Cross multiply
    276,332x = 422,517 × 422,517
  4. Step 4: Simplify right side
    276,332x = 178,520,615,289
  5. Step 5: Solve for x
    x = 178,520,615,289/276,332
  6. Step 6: Final answer
    x = 646,036.71

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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.