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Finding the Third Proportional to 81,268 and 107,859

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Solution

The third proportional to 81,268 and 107,859 is: 143,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,268 : 107,859 = 107,859 : x
  2. Step 2: Convert to fraction form
    81,268/107,859 = 107,859/x
  3. Step 3: Cross multiply
    81,268x = 107,859 × 107,859
  4. Step 4: Simplify right side
    81,268x = 11,633,563,881
  5. Step 5: Solve for x
    x = 11,633,563,881/81,268
  6. Step 6: Final answer
    x = 143,150.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.