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Finding the Third Proportional to 51,517.13 and 81,424.69

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Solution

The third proportional to 51,517.13 and 81,424.69 is: 128,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,517.13 : 81,424.69 = 81,424.69 : x
  2. Step 2: Convert to fraction form
    51,517.13/81,424.69 = 81,424.69/x
  3. Step 3: Cross multiply
    51,517.13x = 81,424.69 × 81,424.69
  4. Step 4: Simplify right side
    51,517.13x = 6,629,979,734.47
  5. Step 5: Solve for x
    x = 6,629,979,734.47/51,517.13
  6. Step 6: Final answer
    x = 128,694.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.