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Finding the Third Proportional to 20,448 and 43,812

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Solution

The third proportional to 20,448 and 43,812 is: 93,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 43,812 = 43,812 : x
  2. Step 2: Convert to fraction form
    20,448/43,812 = 43,812/x
  3. Step 3: Cross multiply
    20,448x = 43,812 × 43,812
  4. Step 4: Simplify right side
    20,448x = 1,919,491,344
  5. Step 5: Solve for x
    x = 1,919,491,344/20,448
  6. Step 6: Final answer
    x = 93,871.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.