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Finding the Third Proportional to 3,487.88 and 5,231.44

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Solution

The third proportional to 3,487.88 and 5,231.44 is: 7,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.88 : 5,231.44 = 5,231.44 : x
  2. Step 2: Convert to fraction form
    3,487.88/5,231.44 = 5,231.44/x
  3. Step 3: Cross multiply
    3,487.88x = 5,231.44 × 5,231.44
  4. Step 4: Simplify right side
    3,487.88x = 27,367,938.32
  5. Step 5: Solve for x
    x = 27,367,938.32/3,487.88
  6. Step 6: Final answer
    x = 7,846.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.