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Finding the Third Proportional to 3.09 and 5.33

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Solution

The third proportional to 3.09 and 5.33 is: 9.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 5.33 = 5.33 : x
  2. Step 2: Convert to fraction form
    3.09/5.33 = 5.33/x
  3. Step 3: Cross multiply
    3.09x = 5.33 × 5.33
  4. Step 4: Simplify right side
    3.09x = 28.44
  5. Step 5: Solve for x
    x = 28.44/3.09
  6. Step 6: Final answer
    x = 9.20

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.