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Finding the Third Proportional to 201,168 and 281,917

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Solution

The third proportional to 201,168 and 281,917 is: 395,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,168 : 281,917 = 281,917 : x
  2. Step 2: Convert to fraction form
    201,168/281,917 = 281,917/x
  3. Step 3: Cross multiply
    201,168x = 281,917 × 281,917
  4. Step 4: Simplify right side
    201,168x = 79,477,194,889
  5. Step 5: Solve for x
    x = 79,477,194,889/201,168
  6. Step 6: Final answer
    x = 395,078.71

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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.