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Finding the Third Proportional to 6.78 and 14.38

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Solution

The third proportional to 6.78 and 14.38 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 14.38 = 14.38 : x
  2. Step 2: Convert to fraction form
    6.78/14.38 = 14.38/x
  3. Step 3: Cross multiply
    6.78x = 14.38 × 14.38
  4. Step 4: Simplify right side
    6.78x = 206.64
  5. Step 5: Solve for x
    x = 206.64/6.78
  6. Step 6: Final answer
    x = 30.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.