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Finding the Third Proportional to 81,864 and 180,936

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Solution

The third proportional to 81,864 and 180,936 is: 399,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 180,936 = 180,936 : x
  2. Step 2: Convert to fraction form
    81,864/180,936 = 180,936/x
  3. Step 3: Cross multiply
    81,864x = 180,936 × 180,936
  4. Step 4: Simplify right side
    81,864x = 32,737,836,096
  5. Step 5: Solve for x
    x = 32,737,836,096/81,864
  6. Step 6: Final answer
    x = 399,905.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.