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Finding the Third Proportional to 9.33 and 20.09

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Solution

The third proportional to 9.33 and 20.09 is: 43.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.33 : 20.09 = 20.09 : x
  2. Step 2: Convert to fraction form
    9.33/20.09 = 20.09/x
  3. Step 3: Cross multiply
    9.33x = 20.09 × 20.09
  4. Step 4: Simplify right side
    9.33x = 403.68
  5. Step 5: Solve for x
    x = 403.68/9.33
  6. Step 6: Final answer
    x = 43.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.