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Finding the Third Proportional to 265,668 and 394,740

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Solution

The third proportional to 265,668 and 394,740 is: 586,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,668 : 394,740 = 394,740 : x
  2. Step 2: Convert to fraction form
    265,668/394,740 = 394,740/x
  3. Step 3: Cross multiply
    265,668x = 394,740 × 394,740
  4. Step 4: Simplify right side
    265,668x = 155,819,667,600
  5. Step 5: Solve for x
    x = 155,819,667,600/265,668
  6. Step 6: Final answer
    x = 586,520.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.