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Finding the Third Proportional to 81,067 and 109,135.50

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Solution

The third proportional to 81,067 and 109,135.50 is: 146,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,067 : 109,135.50 = 109,135.50 : x
  2. Step 2: Convert to fraction form
    81,067/109,135.50 = 109,135.50/x
  3. Step 3: Cross multiply
    81,067x = 109,135.50 × 109,135.50
  4. Step 4: Simplify right side
    81,067x = 11,910,557,360.25
  5. Step 5: Solve for x
    x = 11,910,557,360.25/81,067
  6. Step 6: Final answer
    x = 146,922.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.