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Finding the Third Proportional to 3,121.03 and 4,154.73

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Solution

The third proportional to 3,121.03 and 4,154.73 is: 5,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 4,154.73 = 4,154.73 : x
  2. Step 2: Convert to fraction form
    3,121.03/4,154.73 = 4,154.73/x
  3. Step 3: Cross multiply
    3,121.03x = 4,154.73 × 4,154.73
  4. Step 4: Simplify right side
    3,121.03x = 17,261,785.27
  5. Step 5: Solve for x
    x = 17,261,785.27/3,121.03
  6. Step 6: Final answer
    x = 5,530.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.