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Finding the Third Proportional to 275,333 and 418,238

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Solution

The third proportional to 275,333 and 418,238 is: 635,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,333 : 418,238 = 418,238 : x
  2. Step 2: Convert to fraction form
    275,333/418,238 = 418,238/x
  3. Step 3: Cross multiply
    275,333x = 418,238 × 418,238
  4. Step 4: Simplify right side
    275,333x = 174,923,024,644
  5. Step 5: Solve for x
    x = 174,923,024,644/275,333
  6. Step 6: Final answer
    x = 635,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.