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Finding the Third Proportional to 33,390 and 68,017

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Solution

The third proportional to 33,390 and 68,017 is: 138,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,390 : 68,017 = 68,017 : x
  2. Step 2: Convert to fraction form
    33,390/68,017 = 68,017/x
  3. Step 3: Cross multiply
    33,390x = 68,017 × 68,017
  4. Step 4: Simplify right side
    33,390x = 4,626,312,289
  5. Step 5: Solve for x
    x = 4,626,312,289/33,390
  6. Step 6: Final answer
    x = 138,553.83

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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.