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Finding the Third Proportional to 2.74 and 6.39

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Solution

The third proportional to 2.74 and 6.39 is: 14.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.74 : 6.39 = 6.39 : x
  2. Step 2: Convert to fraction form
    2.74/6.39 = 6.39/x
  3. Step 3: Cross multiply
    2.74x = 6.39 × 6.39
  4. Step 4: Simplify right side
    2.74x = 40.87
  5. Step 5: Solve for x
    x = 40.87/2.74
  6. Step 6: Final answer
    x = 14.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.