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Finding the Third Proportional to 33,878 and 51,067

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Solution

The third proportional to 33,878 and 51,067 is: 76,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878 : 51,067 = 51,067 : x
  2. Step 2: Convert to fraction form
    33,878/51,067 = 51,067/x
  3. Step 3: Cross multiply
    33,878x = 51,067 × 51,067
  4. Step 4: Simplify right side
    33,878x = 2,607,838,489
  5. Step 5: Solve for x
    x = 2,607,838,489/33,878
  6. Step 6: Final answer
    x = 76,977.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.