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Finding the Third Proportional to 33,560 and 68,578

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Solution

The third proportional to 33,560 and 68,578 is: 140,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,560 : 68,578 = 68,578 : x
  2. Step 2: Convert to fraction form
    33,560/68,578 = 68,578/x
  3. Step 3: Cross multiply
    33,560x = 68,578 × 68,578
  4. Step 4: Simplify right side
    33,560x = 4,702,942,084
  5. Step 5: Solve for x
    x = 4,702,942,084/33,560
  6. Step 6: Final answer
    x = 140,135.34

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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.