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Finding the Third Proportional to 3.21 and 6.59

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Solution

The third proportional to 3.21 and 6.59 is: 13.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.21 : 6.59 = 6.59 : x
  2. Step 2: Convert to fraction form
    3.21/6.59 = 6.59/x
  3. Step 3: Cross multiply
    3.21x = 6.59 × 6.59
  4. Step 4: Simplify right side
    3.21x = 43.41
  5. Step 5: Solve for x
    x = 43.41/3.21
  6. Step 6: Final answer
    x = 13.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.