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Finding the Third Proportional to 258,702 and 555,204

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Solution

The third proportional to 258,702 and 555,204 is: 1,191,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,702 : 555,204 = 555,204 : x
  2. Step 2: Convert to fraction form
    258,702/555,204 = 555,204/x
  3. Step 3: Cross multiply
    258,702x = 555,204 × 555,204
  4. Step 4: Simplify right side
    258,702x = 308,251,481,616
  5. Step 5: Solve for x
    x = 308,251,481,616/258,702
  6. Step 6: Final answer
    x = 1,191,531.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.