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Finding the Third Proportional to 81,297 and 107,866

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Solution

The third proportional to 81,297 and 107,866 is: 143,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,297 : 107,866 = 107,866 : x
  2. Step 2: Convert to fraction form
    81,297/107,866 = 107,866/x
  3. Step 3: Cross multiply
    81,297x = 107,866 × 107,866
  4. Step 4: Simplify right side
    81,297x = 11,635,073,956
  5. Step 5: Solve for x
    x = 11,635,073,956/81,297
  6. Step 6: Final answer
    x = 143,118.12

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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.