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Finding the Third Proportional to 258,204 and 557,196

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Solution

The third proportional to 258,204 and 557,196 is: 1,202,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,204 : 557,196 = 557,196 : x
  2. Step 2: Convert to fraction form
    258,204/557,196 = 557,196/x
  3. Step 3: Cross multiply
    258,204x = 557,196 × 557,196
  4. Step 4: Simplify right side
    258,204x = 310,467,382,416
  5. Step 5: Solve for x
    x = 310,467,382,416/258,204
  6. Step 6: Final answer
    x = 1,202,411.20

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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.