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Finding the Third Proportional to 2.56 and 6.92

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Solution

The third proportional to 2.56 and 6.92 is: 18.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.56 : 6.92 = 6.92 : x
  2. Step 2: Convert to fraction form
    2.56/6.92 = 6.92/x
  3. Step 3: Cross multiply
    2.56x = 6.92 × 6.92
  4. Step 4: Simplify right side
    2.56x = 47.89
  5. Step 5: Solve for x
    x = 47.89/2.56
  6. Step 6: Final answer
    x = 18.68

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.