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Finding the Third Proportional to 267,108 and 415,981

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Solution

The third proportional to 267,108 and 415,981 is: 647,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,108 : 415,981 = 415,981 : x
  2. Step 2: Convert to fraction form
    267,108/415,981 = 415,981/x
  3. Step 3: Cross multiply
    267,108x = 415,981 × 415,981
  4. Step 4: Simplify right side
    267,108x = 173,040,192,361
  5. Step 5: Solve for x
    x = 173,040,192,361/267,108
  6. Step 6: Final answer
    x = 647,828.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.