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Finding the Third Proportional to 33,487 and 73,075

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Solution

The third proportional to 33,487 and 73,075 is: 159,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,487 : 73,075 = 73,075 : x
  2. Step 2: Convert to fraction form
    33,487/73,075 = 73,075/x
  3. Step 3: Cross multiply
    33,487x = 73,075 × 73,075
  4. Step 4: Simplify right side
    33,487x = 5,339,955,625
  5. Step 5: Solve for x
    x = 5,339,955,625/33,487
  6. Step 6: Final answer
    x = 159,463.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.