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Finding the Third Proportional to 131,240 and 281,067

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Solution

The third proportional to 131,240 and 281,067 is: 601,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,240 : 281,067 = 281,067 : x
  2. Step 2: Convert to fraction form
    131,240/281,067 = 281,067/x
  3. Step 3: Cross multiply
    131,240x = 281,067 × 281,067
  4. Step 4: Simplify right side
    131,240x = 78,998,658,489
  5. Step 5: Solve for x
    x = 78,998,658,489/131,240
  6. Step 6: Final answer
    x = 601,940.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.