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Finding the Third Proportional to 201,213.75 and 281,997

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Solution

The third proportional to 201,213.75 and 281,997 is: 395,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.75 : 281,997 = 281,997 : x
  2. Step 2: Convert to fraction form
    201,213.75/281,997 = 281,997/x
  3. Step 3: Cross multiply
    201,213.75x = 281,997 × 281,997
  4. Step 4: Simplify right side
    201,213.75x = 79,522,308,009
  5. Step 5: Solve for x
    x = 79,522,308,009/201,213.75
  6. Step 6: Final answer
    x = 395,213.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.