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Finding the Third Proportional to 255,042 and 396,738

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Solution

The third proportional to 255,042 and 396,738 is: 617,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,042 : 396,738 = 396,738 : x
  2. Step 2: Convert to fraction form
    255,042/396,738 = 396,738/x
  3. Step 3: Cross multiply
    255,042x = 396,738 × 396,738
  4. Step 4: Simplify right side
    255,042x = 157,401,040,644
  5. Step 5: Solve for x
    x = 157,401,040,644/255,042
  6. Step 6: Final answer
    x = 617,157.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.