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Finding the Third Proportional to 198.12 and 385.92

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Solution

The third proportional to 198.12 and 385.92 is: 751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.12 : 385.92 = 385.92 : x
  2. Step 2: Convert to fraction form
    198.12/385.92 = 385.92/x
  3. Step 3: Cross multiply
    198.12x = 385.92 × 385.92
  4. Step 4: Simplify right side
    198.12x = 148,935.69
  5. Step 5: Solve for x
    x = 148,935.69/198.12
  6. Step 6: Final answer
    x = 751.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.