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Finding the Third Proportional to 3,082.80 and 6,793.98

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Solution

The third proportional to 3,082.80 and 6,793.98 is: 14,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.80 : 6,793.98 = 6,793.98 : x
  2. Step 2: Convert to fraction form
    3,082.80/6,793.98 = 6,793.98/x
  3. Step 3: Cross multiply
    3,082.80x = 6,793.98 × 6,793.98
  4. Step 4: Simplify right side
    3,082.80x = 46,158,170.61
  5. Step 5: Solve for x
    x = 46,158,170.61/3,082.80
  6. Step 6: Final answer
    x = 14,972.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.