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Finding the Third Proportional to 133.92 and 197.28

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Solution

The third proportional to 133.92 and 197.28 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.92 : 197.28 = 197.28 : x
  2. Step 2: Convert to fraction form
    133.92/197.28 = 197.28/x
  3. Step 3: Cross multiply
    133.92x = 197.28 × 197.28
  4. Step 4: Simplify right side
    133.92x = 38,919.12
  5. Step 5: Solve for x
    x = 38,919.12/133.92
  6. Step 6: Final answer
    x = 290.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.