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Finding the Third Proportional to 122,922 and 258,198

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Solution

The third proportional to 122,922 and 258,198 is: 542,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,922 : 258,198 = 258,198 : x
  2. Step 2: Convert to fraction form
    122,922/258,198 = 258,198/x
  3. Step 3: Cross multiply
    122,922x = 258,198 × 258,198
  4. Step 4: Simplify right side
    122,922x = 66,666,207,204
  5. Step 5: Solve for x
    x = 66,666,207,204/122,922
  6. Step 6: Final answer
    x = 542,345.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.