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Finding the Third Proportional to 2.56 and 6.17

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Solution

The third proportional to 2.56 and 6.17 is: 14.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.56 : 6.17 = 6.17 : x
  2. Step 2: Convert to fraction form
    2.56/6.17 = 6.17/x
  3. Step 3: Cross multiply
    2.56x = 6.17 × 6.17
  4. Step 4: Simplify right side
    2.56x = 38.09
  5. Step 5: Solve for x
    x = 38.09/2.56
  6. Step 6: Final answer
    x = 14.88

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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.