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Finding the Third Proportional to 7.97 and 17.13

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Solution

The third proportional to 7.97 and 17.13 is: 36.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.97 : 17.13 = 17.13 : x
  2. Step 2: Convert to fraction form
    7.97/17.13 = 17.13/x
  3. Step 3: Cross multiply
    7.97x = 17.13 × 17.13
  4. Step 4: Simplify right side
    7.97x = 293.57
  5. Step 5: Solve for x
    x = 293.57/7.97
  6. Step 6: Final answer
    x = 36.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.