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Finding the Third Proportional to 81,741 and 122,885

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Solution

The third proportional to 81,741 and 122,885 is: 184,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,741 : 122,885 = 122,885 : x
  2. Step 2: Convert to fraction form
    81,741/122,885 = 122,885/x
  3. Step 3: Cross multiply
    81,741x = 122,885 × 122,885
  4. Step 4: Simplify right side
    81,741x = 15,100,723,225
  5. Step 5: Solve for x
    x = 15,100,723,225/81,741
  6. Step 6: Final answer
    x = 184,738.67

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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.