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Finding the Third Proportional to 134.44 and 197.38

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Solution

The third proportional to 134.44 and 197.38 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.44 : 197.38 = 197.38 : x
  2. Step 2: Convert to fraction form
    134.44/197.38 = 197.38/x
  3. Step 3: Cross multiply
    134.44x = 197.38 × 197.38
  4. Step 4: Simplify right side
    134.44x = 38,956.89
  5. Step 5: Solve for x
    x = 38,956.89/134.44
  6. Step 6: Final answer
    x = 289.78

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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.