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Finding the Third Proportional to 3,997.13 and 5,591.11

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Solution

The third proportional to 3,997.13 and 5,591.11 is: 7,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.13 : 5,591.11 = 5,591.11 : x
  2. Step 2: Convert to fraction form
    3,997.13/5,591.11 = 5,591.11/x
  3. Step 3: Cross multiply
    3,997.13x = 5,591.11 × 5,591.11
  4. Step 4: Simplify right side
    3,997.13x = 31,260,504.04
  5. Step 5: Solve for x
    x = 31,260,504.04/3,997.13
  6. Step 6: Final answer
    x = 7,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.