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Finding the Third Proportional to 120.75 and 198.38

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Solution

The third proportional to 120.75 and 198.38 is: 325.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 198.38 = 198.38 : x
  2. Step 2: Convert to fraction form
    120.75/198.38 = 198.38/x
  3. Step 3: Cross multiply
    120.75x = 198.38 × 198.38
  4. Step 4: Simplify right side
    120.75x = 39,352.64
  5. Step 5: Solve for x
    x = 39,352.64/120.75
  6. Step 6: Final answer
    x = 325.90

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.