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Finding the Third Proportional to 258,208 and 557,204

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Solution

The third proportional to 258,208 and 557,204 is: 1,202,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,208 : 557,204 = 557,204 : x
  2. Step 2: Convert to fraction form
    258,208/557,204 = 557,204/x
  3. Step 3: Cross multiply
    258,208x = 557,204 × 557,204
  4. Step 4: Simplify right side
    258,208x = 310,476,297,616
  5. Step 5: Solve for x
    x = 310,476,297,616/258,208
  6. Step 6: Final answer
    x = 1,202,427.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.