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Finding the Third Proportional to 6.92 and 10.44

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Solution

The third proportional to 6.92 and 10.44 is: 15.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.92 : 10.44 = 10.44 : x
  2. Step 2: Convert to fraction form
    6.92/10.44 = 10.44/x
  3. Step 3: Cross multiply
    6.92x = 10.44 × 10.44
  4. Step 4: Simplify right side
    6.92x = 108.99
  5. Step 5: Solve for x
    x = 108.99/6.92
  6. Step 6: Final answer
    x = 15.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.