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Finding the Third Proportional to 51,867 and 80,103

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Solution

The third proportional to 51,867 and 80,103 is: 123,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,867 : 80,103 = 80,103 : x
  2. Step 2: Convert to fraction form
    51,867/80,103 = 80,103/x
  3. Step 3: Cross multiply
    51,867x = 80,103 × 80,103
  4. Step 4: Simplify right side
    51,867x = 6,416,490,609
  5. Step 5: Solve for x
    x = 6,416,490,609/51,867
  6. Step 6: Final answer
    x = 123,710.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.