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Finding the Third Proportional to 258,162 and 400,734

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Solution

The third proportional to 258,162 and 400,734 is: 622,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,162 : 400,734 = 400,734 : x
  2. Step 2: Convert to fraction form
    258,162/400,734 = 400,734/x
  3. Step 3: Cross multiply
    258,162x = 400,734 × 400,734
  4. Step 4: Simplify right side
    258,162x = 160,587,738,756
  5. Step 5: Solve for x
    x = 160,587,738,756/258,162
  6. Step 6: Final answer
    x = 622,042.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.