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Finding the Third Proportional to 3,930.19 and 8,179.31

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Solution

The third proportional to 3,930.19 and 8,179.31 is: 17,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.19 : 8,179.31 = 8,179.31 : x
  2. Step 2: Convert to fraction form
    3,930.19/8,179.31 = 8,179.31/x
  3. Step 3: Cross multiply
    3,930.19x = 8,179.31 × 8,179.31
  4. Step 4: Simplify right side
    3,930.19x = 66,901,152.97
  5. Step 5: Solve for x
    x = 66,901,152.97/3,930.19
  6. Step 6: Final answer
    x = 17,022.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.