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Finding the Third Proportional to 51,408 and 68,376

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Solution

The third proportional to 51,408 and 68,376 is: 90,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408 : 68,376 = 68,376 : x
  2. Step 2: Convert to fraction form
    51,408/68,376 = 68,376/x
  3. Step 3: Cross multiply
    51,408x = 68,376 × 68,376
  4. Step 4: Simplify right side
    51,408x = 4,675,277,376
  5. Step 5: Solve for x
    x = 4,675,277,376/51,408
  6. Step 6: Final answer
    x = 90,944.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.