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Finding the Third Proportional to 33,554 and 68,564

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Solution

The third proportional to 33,554 and 68,564 is: 140,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,554 : 68,564 = 68,564 : x
  2. Step 2: Convert to fraction form
    33,554/68,564 = 68,564/x
  3. Step 3: Cross multiply
    33,554x = 68,564 × 68,564
  4. Step 4: Simplify right side
    33,554x = 4,701,022,096
  5. Step 5: Solve for x
    x = 4,701,022,096/33,554
  6. Step 6: Final answer
    x = 140,103.18

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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.