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Finding the Third Proportional to 394,128 and 606,456

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Solution

The third proportional to 394,128 and 606,456 is: 933,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,128 : 606,456 = 606,456 : x
  2. Step 2: Convert to fraction form
    394,128/606,456 = 606,456/x
  3. Step 3: Cross multiply
    394,128x = 606,456 × 606,456
  4. Step 4: Simplify right side
    394,128x = 367,788,879,936
  5. Step 5: Solve for x
    x = 367,788,879,936/394,128
  6. Step 6: Final answer
    x = 933,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.