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Finding the Third Proportional to 7.69 and 19.97

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Solution

The third proportional to 7.69 and 19.97 is: 51.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.69 : 19.97 = 19.97 : x
  2. Step 2: Convert to fraction form
    7.69/19.97 = 19.97/x
  3. Step 3: Cross multiply
    7.69x = 19.97 × 19.97
  4. Step 4: Simplify right side
    7.69x = 398.75
  5. Step 5: Solve for x
    x = 398.75/7.69
  6. Step 6: Final answer
    x = 51.87

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.