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Finding the Third Proportional to 3,687.75 and 5,538.75

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Solution

The third proportional to 3,687.75 and 5,538.75 is: 8,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.75 : 5,538.75 = 5,538.75 : x
  2. Step 2: Convert to fraction form
    3,687.75/5,538.75 = 5,538.75/x
  3. Step 3: Cross multiply
    3,687.75x = 5,538.75 × 5,538.75
  4. Step 4: Simplify right side
    3,687.75x = 30,677,751.56
  5. Step 5: Solve for x
    x = 30,677,751.56/3,687.75
  6. Step 6: Final answer
    x = 8,318.83

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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.