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Finding the Third Proportional to 123 and 198.38

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Solution

The third proportional to 123 and 198.38 is: 319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 198.38 = 198.38 : x
  2. Step 2: Convert to fraction form
    123/198.38 = 198.38/x
  3. Step 3: Cross multiply
    123x = 198.38 × 198.38
  4. Step 4: Simplify right side
    123x = 39,352.64
  5. Step 5: Solve for x
    x = 39,352.64/123
  6. Step 6: Final answer
    x = 319.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.