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Finding the Third Proportional to 212,328 and 500,517

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Solution

The third proportional to 212,328 and 500,517 is: 1,179,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,328 : 500,517 = 500,517 : x
  2. Step 2: Convert to fraction form
    212,328/500,517 = 500,517/x
  3. Step 3: Cross multiply
    212,328x = 500,517 × 500,517
  4. Step 4: Simplify right side
    212,328x = 250,517,267,289
  5. Step 5: Solve for x
    x = 250,517,267,289/212,328
  6. Step 6: Final answer
    x = 1,179,859.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.