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Finding the Third Proportional to 51,408 and 106,920

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Solution

The third proportional to 51,408 and 106,920 is: 222,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408 : 106,920 = 106,920 : x
  2. Step 2: Convert to fraction form
    51,408/106,920 = 106,920/x
  3. Step 3: Cross multiply
    51,408x = 106,920 × 106,920
  4. Step 4: Simplify right side
    51,408x = 11,431,886,400
  5. Step 5: Solve for x
    x = 11,431,886,400/51,408
  6. Step 6: Final answer
    x = 222,375.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.