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Finding the Third Proportional to 271,878 and 414,975

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Solution

The third proportional to 271,878 and 414,975 is: 633,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,878 : 414,975 = 414,975 : x
  2. Step 2: Convert to fraction form
    271,878/414,975 = 414,975/x
  3. Step 3: Cross multiply
    271,878x = 414,975 × 414,975
  4. Step 4: Simplify right side
    271,878x = 172,204,250,625
  5. Step 5: Solve for x
    x = 172,204,250,625/271,878
  6. Step 6: Final answer
    x = 633,387.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.