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Finding the Third Proportional to 81,993 and 122,991

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Solution

The third proportional to 81,993 and 122,991 is: 184,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,993 : 122,991 = 122,991 : x
  2. Step 2: Convert to fraction form
    81,993/122,991 = 122,991/x
  3. Step 3: Cross multiply
    81,993x = 122,991 × 122,991
  4. Step 4: Simplify right side
    81,993x = 15,126,786,081
  5. Step 5: Solve for x
    x = 15,126,786,081/81,993
  6. Step 6: Final answer
    x = 184,488.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.