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Finding the Third Proportional to 3,121.03 and 6,976.76

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Solution

The third proportional to 3,121.03 and 6,976.76 is: 15,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 6,976.76 = 6,976.76 : x
  2. Step 2: Convert to fraction form
    3,121.03/6,976.76 = 6,976.76/x
  3. Step 3: Cross multiply
    3,121.03x = 6,976.76 × 6,976.76
  4. Step 4: Simplify right side
    3,121.03x = 48,675,149.57
  5. Step 5: Solve for x
    x = 48,675,149.57/3,121.03
  6. Step 6: Final answer
    x = 15,595.85

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.