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Finding the Third Proportional to 3,991.86 and 8,397.14

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Solution

The third proportional to 3,991.86 and 8,397.14 is: 17,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.86 : 8,397.14 = 8,397.14 : x
  2. Step 2: Convert to fraction form
    3,991.86/8,397.14 = 8,397.14/x
  3. Step 3: Cross multiply
    3,991.86x = 8,397.14 × 8,397.14
  4. Step 4: Simplify right side
    3,991.86x = 70,511,970.68
  5. Step 5: Solve for x
    x = 70,511,970.68/3,991.86
  6. Step 6: Final answer
    x = 17,663.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.