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Finding the Third Proportional to 258,198 and 391,161

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Solution

The third proportional to 258,198 and 391,161 is: 592,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,198 : 391,161 = 391,161 : x
  2. Step 2: Convert to fraction form
    258,198/391,161 = 391,161/x
  3. Step 3: Cross multiply
    258,198x = 391,161 × 391,161
  4. Step 4: Simplify right side
    258,198x = 153,006,927,921
  5. Step 5: Solve for x
    x = 153,006,927,921/258,198
  6. Step 6: Final answer
    x = 592,595.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.