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Finding the Third Proportional to 39,969 and 82,203.75

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Solution

The third proportional to 39,969 and 82,203.75 is: 169,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 82,203.75 = 82,203.75 : x
  2. Step 2: Convert to fraction form
    39,969/82,203.75 = 82,203.75/x
  3. Step 3: Cross multiply
    39,969x = 82,203.75 × 82,203.75
  4. Step 4: Simplify right side
    39,969x = 6,757,456,514.06
  5. Step 5: Solve for x
    x = 6,757,456,514.06/39,969
  6. Step 6: Final answer
    x = 169,067.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.