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Finding the Third Proportional to 3,387.75 and 5,147.25

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Solution

The third proportional to 3,387.75 and 5,147.25 is: 7,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.75 : 5,147.25 = 5,147.25 : x
  2. Step 2: Convert to fraction form
    3,387.75/5,147.25 = 5,147.25/x
  3. Step 3: Cross multiply
    3,387.75x = 5,147.25 × 5,147.25
  4. Step 4: Simplify right side
    3,387.75x = 26,494,182.56
  5. Step 5: Solve for x
    x = 26,494,182.56/3,387.75
  6. Step 6: Final answer
    x = 7,820.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.