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Finding the Third Proportional to 3,872.81 and 5,626.97

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Solution

The third proportional to 3,872.81 and 5,626.97 is: 8,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.81 : 5,626.97 = 5,626.97 : x
  2. Step 2: Convert to fraction form
    3,872.81/5,626.97 = 5,626.97/x
  3. Step 3: Cross multiply
    3,872.81x = 5,626.97 × 5,626.97
  4. Step 4: Simplify right side
    3,872.81x = 31,662,777.31
  5. Step 5: Solve for x
    x = 31,662,777.31/3,872.81
  6. Step 6: Final answer
    x = 8,175.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.