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Finding the Third Proportional to 33,194.50 and 71,672

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Solution

The third proportional to 33,194.50 and 71,672 is: 154,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,194.50 : 71,672 = 71,672 : x
  2. Step 2: Convert to fraction form
    33,194.50/71,672 = 71,672/x
  3. Step 3: Cross multiply
    33,194.50x = 71,672 × 71,672
  4. Step 4: Simplify right side
    33,194.50x = 5,136,875,584
  5. Step 5: Solve for x
    x = 5,136,875,584/33,194.50
  6. Step 6: Final answer
    x = 154,750.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.