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Finding the Third Proportional to 3,979.97 and 8,644.43

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Solution

The third proportional to 3,979.97 and 8,644.43 is: 18,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.97 : 8,644.43 = 8,644.43 : x
  2. Step 2: Convert to fraction form
    3,979.97/8,644.43 = 8,644.43/x
  3. Step 3: Cross multiply
    3,979.97x = 8,644.43 × 8,644.43
  4. Step 4: Simplify right side
    3,979.97x = 74,726,164.62
  5. Step 5: Solve for x
    x = 74,726,164.62/3,979.97
  6. Step 6: Final answer
    x = 18,775.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.