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Finding the Third Proportional to 2.56 and 3.51

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Solution

The third proportional to 2.56 and 3.51 is: 4.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.56 : 3.51 = 3.51 : x
  2. Step 2: Convert to fraction form
    2.56/3.51 = 3.51/x
  3. Step 3: Cross multiply
    2.56x = 3.51 × 3.51
  4. Step 4: Simplify right side
    2.56x = 12.33
  5. Step 5: Solve for x
    x = 12.33/2.56
  6. Step 6: Final answer
    x = 4.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.