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Finding the Third Proportional to 81,874 and 122,305

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Solution

The third proportional to 81,874 and 122,305 is: 182,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874 : 122,305 = 122,305 : x
  2. Step 2: Convert to fraction form
    81,874/122,305 = 122,305/x
  3. Step 3: Cross multiply
    81,874x = 122,305 × 122,305
  4. Step 4: Simplify right side
    81,874x = 14,958,513,025
  5. Step 5: Solve for x
    x = 14,958,513,025/81,874
  6. Step 6: Final answer
    x = 182,701.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.