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Finding the Third Proportional to 5.85 and 13.21

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Solution

The third proportional to 5.85 and 13.21 is: 29.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.85 : 13.21 = 13.21 : x
  2. Step 2: Convert to fraction form
    5.85/13.21 = 13.21/x
  3. Step 3: Cross multiply
    5.85x = 13.21 × 13.21
  4. Step 4: Simplify right side
    5.85x = 174.50
  5. Step 5: Solve for x
    x = 174.50/5.85
  6. Step 6: Final answer
    x = 29.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.