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Finding the Third Proportional to 33,391 and 68,018

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Solution

The third proportional to 33,391 and 68,018 is: 138,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,391 : 68,018 = 68,018 : x
  2. Step 2: Convert to fraction form
    33,391/68,018 = 68,018/x
  3. Step 3: Cross multiply
    33,391x = 68,018 × 68,018
  4. Step 4: Simplify right side
    33,391x = 4,626,448,324
  5. Step 5: Solve for x
    x = 4,626,448,324/33,391
  6. Step 6: Final answer
    x = 138,553.75

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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.