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Finding the Third Proportional to 3,121.03 and 3,982.92

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Solution

The third proportional to 3,121.03 and 3,982.92 is: 5,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 3,982.92 = 3,982.92 : x
  2. Step 2: Convert to fraction form
    3,121.03/3,982.92 = 3,982.92/x
  3. Step 3: Cross multiply
    3,121.03x = 3,982.92 × 3,982.92
  4. Step 4: Simplify right side
    3,121.03x = 15,863,666.66
  5. Step 5: Solve for x
    x = 15,863,666.66/3,121.03
  6. Step 6: Final answer
    x = 5,082.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.