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Finding the Third Proportional to 197.81 and 331.03

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Solution

The third proportional to 197.81 and 331.03 is: 553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.81 : 331.03 = 331.03 : x
  2. Step 2: Convert to fraction form
    197.81/331.03 = 331.03/x
  3. Step 3: Cross multiply
    197.81x = 331.03 × 331.03
  4. Step 4: Simplify right side
    197.81x = 109,581.69
  5. Step 5: Solve for x
    x = 109,581.69/197.81
  6. Step 6: Final answer
    x = 553.97

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.