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Finding the Third Proportional to 40,905 and 68,067

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Solution

The third proportional to 40,905 and 68,067 is: 113,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,905 : 68,067 = 68,067 : x
  2. Step 2: Convert to fraction form
    40,905/68,067 = 68,067/x
  3. Step 3: Cross multiply
    40,905x = 68,067 × 68,067
  4. Step 4: Simplify right side
    40,905x = 4,633,116,489
  5. Step 5: Solve for x
    x = 4,633,116,489/40,905
  6. Step 6: Final answer
    x = 113,265.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.