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Finding the Third Proportional to 33,996 and 73,095

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Solution

The third proportional to 33,996 and 73,095 is: 157,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996 : 73,095 = 73,095 : x
  2. Step 2: Convert to fraction form
    33,996/73,095 = 73,095/x
  3. Step 3: Cross multiply
    33,996x = 73,095 × 73,095
  4. Step 4: Simplify right side
    33,996x = 5,342,879,025
  5. Step 5: Solve for x
    x = 5,342,879,025/33,996
  6. Step 6: Final answer
    x = 157,161.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.