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Finding the Third Proportional to 16,693 and 33,847

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Solution

The third proportional to 16,693 and 33,847 is: 68,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693 : 33,847 = 33,847 : x
  2. Step 2: Convert to fraction form
    16,693/33,847 = 33,847/x
  3. Step 3: Cross multiply
    16,693x = 33,847 × 33,847
  4. Step 4: Simplify right side
    16,693x = 1,145,619,409
  5. Step 5: Solve for x
    x = 1,145,619,409/16,693
  6. Step 6: Final answer
    x = 68,628.73

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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.