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Finding the Third Proportional to 51,876 and 79,110

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Solution

The third proportional to 51,876 and 79,110 is: 120,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 79,110 = 79,110 : x
  2. Step 2: Convert to fraction form
    51,876/79,110 = 79,110/x
  3. Step 3: Cross multiply
    51,876x = 79,110 × 79,110
  4. Step 4: Simplify right side
    51,876x = 6,258,392,100
  5. Step 5: Solve for x
    x = 6,258,392,100/51,876
  6. Step 6: Final answer
    x = 120,641.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.