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Finding the Third Proportional to 198 and 262.69

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Solution

The third proportional to 198 and 262.69 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 262.69 = 262.69 : x
  2. Step 2: Convert to fraction form
    198/262.69 = 262.69/x
  3. Step 3: Cross multiply
    198x = 262.69 × 262.69
  4. Step 4: Simplify right side
    198x = 69,004.72
  5. Step 5: Solve for x
    x = 69,004.72/198
  6. Step 6: Final answer
    x = 348.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.