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Finding the Third Proportional to 3.21 and 6.84

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Solution

The third proportional to 3.21 and 6.84 is: 14.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.21 : 6.84 = 6.84 : x
  2. Step 2: Convert to fraction form
    3.21/6.84 = 6.84/x
  3. Step 3: Cross multiply
    3.21x = 6.84 × 6.84
  4. Step 4: Simplify right side
    3.21x = 46.84
  5. Step 5: Solve for x
    x = 46.84/3.21
  6. Step 6: Final answer
    x = 14.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.