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Finding the Third Proportional to 33.56 and 73.88

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Solution

The third proportional to 33.56 and 73.88 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.56 : 73.88 = 73.88 : x
  2. Step 2: Convert to fraction form
    33.56/73.88 = 73.88/x
  3. Step 3: Cross multiply
    33.56x = 73.88 × 73.88
  4. Step 4: Simplify right side
    33.56x = 5,457.52
  5. Step 5: Solve for x
    x = 5,457.52/33.56
  6. Step 6: Final answer
    x = 162.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.