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Finding the Third Proportional to 33,911 and 68,745

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Solution

The third proportional to 33,911 and 68,745 is: 139,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,911 : 68,745 = 68,745 : x
  2. Step 2: Convert to fraction form
    33,911/68,745 = 68,745/x
  3. Step 3: Cross multiply
    33,911x = 68,745 × 68,745
  4. Step 4: Simplify right side
    33,911x = 4,725,875,025
  5. Step 5: Solve for x
    x = 4,725,875,025/33,911
  6. Step 6: Final answer
    x = 139,361.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.