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Finding the Third Proportional to 3,943.69 and 9,115.03

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Solution

The third proportional to 3,943.69 and 9,115.03 is: 21,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.69 : 9,115.03 = 9,115.03 : x
  2. Step 2: Convert to fraction form
    3,943.69/9,115.03 = 9,115.03/x
  3. Step 3: Cross multiply
    3,943.69x = 9,115.03 × 9,115.03
  4. Step 4: Simplify right side
    3,943.69x = 83,083,794.69
  5. Step 5: Solve for x
    x = 83,083,794.69/3,943.69
  6. Step 6: Final answer
    x = 21,067.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.