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Finding the Third Proportional to 3.21 and 5.89

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Solution

The third proportional to 3.21 and 5.89 is: 10.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.21 : 5.89 = 5.89 : x
  2. Step 2: Convert to fraction form
    3.21/5.89 = 5.89/x
  3. Step 3: Cross multiply
    3.21x = 5.89 × 5.89
  4. Step 4: Simplify right side
    3.21x = 34.64
  5. Step 5: Solve for x
    x = 34.64/3.21
  6. Step 6: Final answer
    x = 10.79

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.