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Finding the Third Proportional to 33,613.50 and 73,786.88

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Solution

The third proportional to 33,613.50 and 73,786.88 is: 161,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,613.50 : 73,786.88 = 73,786.88 : x
  2. Step 2: Convert to fraction form
    33,613.50/73,786.88 = 73,786.88/x
  3. Step 3: Cross multiply
    33,613.50x = 73,786.88 × 73,786.88
  4. Step 4: Simplify right side
    33,613.50x = 5,444,502,922.27
  5. Step 5: Solve for x
    x = 5,444,502,922.27/33,613.50
  6. Step 6: Final answer
    x = 161,973.70

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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.