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Finding the Third Proportional to 33.13 and 71.25

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Solution

The third proportional to 33.13 and 71.25 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.13 : 71.25 = 71.25 : x
  2. Step 2: Convert to fraction form
    33.13/71.25 = 71.25/x
  3. Step 3: Cross multiply
    33.13x = 71.25 × 71.25
  4. Step 4: Simplify right side
    33.13x = 5,076.56
  5. Step 5: Solve for x
    x = 5,076.56/33.13
  6. Step 6: Final answer
    x = 153.25

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