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Finding the Third Proportional to 6.92 and 16.68

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Solution

The third proportional to 6.92 and 16.68 is: 40.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.92 : 16.68 = 16.68 : x
  2. Step 2: Convert to fraction form
    6.92/16.68 = 16.68/x
  3. Step 3: Cross multiply
    6.92x = 16.68 × 16.68
  4. Step 4: Simplify right side
    6.92x = 278.31
  5. Step 5: Solve for x
    x = 278.31/6.92
  6. Step 6: Final answer
    x = 40.22

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.