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Finding the Third Proportional to 3,882.50 and 8,382.50

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Solution

The third proportional to 3,882.50 and 8,382.50 is: 18,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.50 : 8,382.50 = 8,382.50 : x
  2. Step 2: Convert to fraction form
    3,882.50/8,382.50 = 8,382.50/x
  3. Step 3: Cross multiply
    3,882.50x = 8,382.50 × 8,382.50
  4. Step 4: Simplify right side
    3,882.50x = 70,266,306.25
  5. Step 5: Solve for x
    x = 70,266,306.25/3,882.50
  6. Step 6: Final answer
    x = 18,098.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.