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Finding the Third Proportional to 253,828 and 557,857

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Solution

The third proportional to 253,828 and 557,857 is: 1,226,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,828 : 557,857 = 557,857 : x
  2. Step 2: Convert to fraction form
    253,828/557,857 = 557,857/x
  3. Step 3: Cross multiply
    253,828x = 557,857 × 557,857
  4. Step 4: Simplify right side
    253,828x = 311,204,432,449
  5. Step 5: Solve for x
    x = 311,204,432,449/253,828
  6. Step 6: Final answer
    x = 1,226,044.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.