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Finding the Third Proportional to 81,789.75 and 199,837.13

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Solution

The third proportional to 81,789.75 and 199,837.13 is: 488,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,789.75 : 199,837.13 = 199,837.13 : x
  2. Step 2: Convert to fraction form
    81,789.75/199,837.13 = 199,837.13/x
  3. Step 3: Cross multiply
    81,789.75x = 199,837.13 × 199,837.13
  4. Step 4: Simplify right side
    81,789.75x = 39,934,876,528.27
  5. Step 5: Solve for x
    x = 39,934,876,528.27/81,789.75
  6. Step 6: Final answer
    x = 488,262.61

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.