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Finding the Third Proportional to 51,198.75 and 80,142.19

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Solution

The third proportional to 51,198.75 and 80,142.19 is: 125,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,198.75 : 80,142.19 = 80,142.19 : x
  2. Step 2: Convert to fraction form
    51,198.75/80,142.19 = 80,142.19/x
  3. Step 3: Cross multiply
    51,198.75x = 80,142.19 × 80,142.19
  4. Step 4: Simplify right side
    51,198.75x = 6,422,770,217.29
  5. Step 5: Solve for x
    x = 6,422,770,217.29/51,198.75
  6. Step 6: Final answer
    x = 125,447.79

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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.