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Finding the Third Proportional to 81,382.50 and 125,997.75

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Solution

The third proportional to 81,382.50 and 125,997.75 is: 195,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,382.50 : 125,997.75 = 125,997.75 : x
  2. Step 2: Convert to fraction form
    81,382.50/125,997.75 = 125,997.75/x
  3. Step 3: Cross multiply
    81,382.50x = 125,997.75 × 125,997.75
  4. Step 4: Simplify right side
    81,382.50x = 15,875,433,005.06
  5. Step 5: Solve for x
    x = 15,875,433,005.06/81,382.50
  6. Step 6: Final answer
    x = 195,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.