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Finding the Third Proportional to 3,387.38 and 8,160.38

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Solution

The third proportional to 3,387.38 and 8,160.38 is: 19,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.38 : 8,160.38 = 8,160.38 : x
  2. Step 2: Convert to fraction form
    3,387.38/8,160.38 = 8,160.38/x
  3. Step 3: Cross multiply
    3,387.38x = 8,160.38 × 8,160.38
  4. Step 4: Simplify right side
    3,387.38x = 66,591,720.14
  5. Step 5: Solve for x
    x = 66,591,720.14/3,387.38
  6. Step 6: Final answer
    x = 19,658.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.