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Finding the Third Proportional to 2.72 and 6.78

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Solution

The third proportional to 2.72 and 6.78 is: 16.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.72 : 6.78 = 6.78 : x
  2. Step 2: Convert to fraction form
    2.72/6.78 = 6.78/x
  3. Step 3: Cross multiply
    2.72x = 6.78 × 6.78
  4. Step 4: Simplify right side
    2.72x = 45.99
  5. Step 5: Solve for x
    x = 45.99/2.72
  6. Step 6: Final answer
    x = 16.91

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.