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Finding the Third Proportional to 81,733 and 122,682

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Solution

The third proportional to 81,733 and 122,682 is: 184,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733 : 122,682 = 122,682 : x
  2. Step 2: Convert to fraction form
    81,733/122,682 = 122,682/x
  3. Step 3: Cross multiply
    81,733x = 122,682 × 122,682
  4. Step 4: Simplify right side
    81,733x = 15,050,873,124
  5. Step 5: Solve for x
    x = 15,050,873,124/81,733
  6. Step 6: Final answer
    x = 184,146.83

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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.