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Finding the Third Proportional to 2.92 and 6.86

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Solution

The third proportional to 2.92 and 6.86 is: 16.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.92 : 6.86 = 6.86 : x
  2. Step 2: Convert to fraction form
    2.92/6.86 = 6.86/x
  3. Step 3: Cross multiply
    2.92x = 6.86 × 6.86
  4. Step 4: Simplify right side
    2.92x = 47.01
  5. Step 5: Solve for x
    x = 47.01/2.92
  6. Step 6: Final answer
    x = 16.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.