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Finding the Third Proportional to 197.03 and 418.97

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Solution

The third proportional to 197.03 and 418.97 is: 890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 418.97 = 418.97 : x
  2. Step 2: Convert to fraction form
    197.03/418.97 = 418.97/x
  3. Step 3: Cross multiply
    197.03x = 418.97 × 418.97
  4. Step 4: Simplify right side
    197.03x = 175,534.81
  5. Step 5: Solve for x
    x = 175,534.81/197.03
  6. Step 6: Final answer
    x = 890.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.