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Finding the Third Proportional to 33,830 and 68,956

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Solution

The third proportional to 33,830 and 68,956 is: 140,553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830 : 68,956 = 68,956 : x
  2. Step 2: Convert to fraction form
    33,830/68,956 = 68,956/x
  3. Step 3: Cross multiply
    33,830x = 68,956 × 68,956
  4. Step 4: Simplify right side
    33,830x = 4,754,929,936
  5. Step 5: Solve for x
    x = 4,754,929,936/33,830
  6. Step 6: Final answer
    x = 140,553.65

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Why These Related Problems?

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