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Finding the Third Proportional to 9.16 and 19.97

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Solution

The third proportional to 9.16 and 19.97 is: 43.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.16 : 19.97 = 19.97 : x
  2. Step 2: Convert to fraction form
    9.16/19.97 = 19.97/x
  3. Step 3: Cross multiply
    9.16x = 19.97 × 19.97
  4. Step 4: Simplify right side
    9.16x = 398.75
  5. Step 5: Solve for x
    x = 398.75/9.16
  6. Step 6: Final answer
    x = 43.55

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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.