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Finding the Third Proportional to 3.37 and 6.26

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Solution

The third proportional to 3.37 and 6.26 is: 11.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.37 : 6.26 = 6.26 : x
  2. Step 2: Convert to fraction form
    3.37/6.26 = 6.26/x
  3. Step 3: Cross multiply
    3.37x = 6.26 × 6.26
  4. Step 4: Simplify right side
    3.37x = 39.14
  5. Step 5: Solve for x
    x = 39.14/3.37
  6. Step 6: Final answer
    x = 11.61

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.