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Finding the Third Proportional to 51,876 and 81,054

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Solution

The third proportional to 51,876 and 81,054 is: 126,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 81,054 = 81,054 : x
  2. Step 2: Convert to fraction form
    51,876/81,054 = 81,054/x
  3. Step 3: Cross multiply
    51,876x = 81,054 × 81,054
  4. Step 4: Simplify right side
    51,876x = 6,569,750,916
  5. Step 5: Solve for x
    x = 6,569,750,916/51,876
  6. Step 6: Final answer
    x = 126,643.36

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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.