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Finding the Third Proportional to 3.50 and 6.78

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Solution

The third proportional to 3.50 and 6.78 is: 13.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.50 : 6.78 = 6.78 : x
  2. Step 2: Convert to fraction form
    3.50/6.78 = 6.78/x
  3. Step 3: Cross multiply
    3.50x = 6.78 × 6.78
  4. Step 4: Simplify right side
    3.50x = 45.99
  5. Step 5: Solve for x
    x = 45.99/3.50
  6. Step 6: Final answer
    x = 13.14

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.