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Finding the Third Proportional to 51,867 and 81,279

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Solution

The third proportional to 51,867 and 81,279 is: 127,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,867 : 81,279 = 81,279 : x
  2. Step 2: Convert to fraction form
    51,867/81,279 = 81,279/x
  3. Step 3: Cross multiply
    51,867x = 81,279 × 81,279
  4. Step 4: Simplify right side
    51,867x = 6,606,275,841
  5. Step 5: Solve for x
    x = 6,606,275,841/51,867
  6. Step 6: Final answer
    x = 127,369.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.