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Finding the Third Proportional to 3,791.06 and 5,576.44

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Solution

The third proportional to 3,791.06 and 5,576.44 is: 8,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.06 : 5,576.44 = 5,576.44 : x
  2. Step 2: Convert to fraction form
    3,791.06/5,576.44 = 5,576.44/x
  3. Step 3: Cross multiply
    3,791.06x = 5,576.44 × 5,576.44
  4. Step 4: Simplify right side
    3,791.06x = 31,096,655.19
  5. Step 5: Solve for x
    x = 31,096,655.19/3,791.06
  6. Step 6: Final answer
    x = 8,202.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.