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Finding the Third Proportional to 33,820 and 68,936

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Solution

The third proportional to 33,820 and 68,936 is: 140,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820 : 68,936 = 68,936 : x
  2. Step 2: Convert to fraction form
    33,820/68,936 = 68,936/x
  3. Step 3: Cross multiply
    33,820x = 68,936 × 68,936
  4. Step 4: Simplify right side
    33,820x = 4,752,172,096
  5. Step 5: Solve for x
    x = 4,752,172,096/33,820
  6. Step 6: Final answer
    x = 140,513.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.