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Finding the Third Proportional to 6.94 and 12.97

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Solution

The third proportional to 6.94 and 12.97 is: 24.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 12.97 = 12.97 : x
  2. Step 2: Convert to fraction form
    6.94/12.97 = 12.97/x
  3. Step 3: Cross multiply
    6.94x = 12.97 × 12.97
  4. Step 4: Simplify right side
    6.94x = 168.19
  5. Step 5: Solve for x
    x = 168.19/6.94
  6. Step 6: Final answer
    x = 24.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.