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Finding the Third Proportional to 97.97 and 213.28

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Solution

The third proportional to 97.97 and 213.28 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.97 : 213.28 = 213.28 : x
  2. Step 2: Convert to fraction form
    97.97/213.28 = 213.28/x
  3. Step 3: Cross multiply
    97.97x = 213.28 × 213.28
  4. Step 4: Simplify right side
    97.97x = 45,488.89
  5. Step 5: Solve for x
    x = 45,488.89/97.97
  6. Step 6: Final answer
    x = 464.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.