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Finding the Third Proportional to 197.16 and 406.97

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Solution

The third proportional to 197.16 and 406.97 is: 840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 406.97 = 406.97 : x
  2. Step 2: Convert to fraction form
    197.16/406.97 = 406.97/x
  3. Step 3: Cross multiply
    197.16x = 406.97 × 406.97
  4. Step 4: Simplify right side
    197.16x = 165,623.56
  5. Step 5: Solve for x
    x = 165,623.56/197.16
  6. Step 6: Final answer
    x = 840.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.