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Finding the Third Proportional to 3,745.62 and 8,131.96

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Solution

The third proportional to 3,745.62 and 8,131.96 is: 17,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.62 : 8,131.96 = 8,131.96 : x
  2. Step 2: Convert to fraction form
    3,745.62/8,131.96 = 8,131.96/x
  3. Step 3: Cross multiply
    3,745.62x = 8,131.96 × 8,131.96
  4. Step 4: Simplify right side
    3,745.62x = 66,128,725.16
  5. Step 5: Solve for x
    x = 66,128,725.16/3,745.62
  6. Step 6: Final answer
    x = 17,654.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.