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Finding the Third Proportional to 33.50 and 72.81

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Solution

The third proportional to 33.50 and 72.81 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 72.81 = 72.81 : x
  2. Step 2: Convert to fraction form
    33.50/72.81 = 72.81/x
  3. Step 3: Cross multiply
    33.50x = 72.81 × 72.81
  4. Step 4: Simplify right side
    33.50x = 5,301.66
  5. Step 5: Solve for x
    x = 5,301.66/33.50
  6. Step 6: Final answer
    x = 158.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.