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Finding the Third Proportional to 81,993.38 and 123,243.19

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Solution

The third proportional to 81,993.38 and 123,243.19 is: 185,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,993.38 : 123,243.19 = 123,243.19 : x
  2. Step 2: Convert to fraction form
    81,993.38/123,243.19 = 123,243.19/x
  3. Step 3: Cross multiply
    81,993.38x = 123,243.19 × 123,243.19
  4. Step 4: Simplify right side
    81,993.38x = 15,188,883,265.16
  5. Step 5: Solve for x
    x = 15,188,883,265.16/81,993.38
  6. Step 6: Final answer
    x = 185,245.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.