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Finding the Third Proportional to 81,936 and 122,384

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Solution

The third proportional to 81,936 and 122,384 is: 182,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 122,384 = 122,384 : x
  2. Step 2: Convert to fraction form
    81,936/122,384 = 122,384/x
  3. Step 3: Cross multiply
    81,936x = 122,384 × 122,384
  4. Step 4: Simplify right side
    81,936x = 14,977,843,456
  5. Step 5: Solve for x
    x = 14,977,843,456/81,936
  6. Step 6: Final answer
    x = 182,799.30

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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.