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Finding the Third Proportional to 3,882.30 and 8,384.45

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Solution

The third proportional to 3,882.30 and 8,384.45 is: 18,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.30 : 8,384.45 = 8,384.45 : x
  2. Step 2: Convert to fraction form
    3,882.30/8,384.45 = 8,384.45/x
  3. Step 3: Cross multiply
    3,882.30x = 8,384.45 × 8,384.45
  4. Step 4: Simplify right side
    3,882.30x = 70,298,988.70
  5. Step 5: Solve for x
    x = 70,298,988.70/3,882.30
  6. Step 6: Final answer
    x = 18,107.54

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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.