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Finding the Third Proportional to 256,824 and 394,956

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Solution

The third proportional to 256,824 and 394,956 is: 607,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824 : 394,956 = 394,956 : x
  2. Step 2: Convert to fraction form
    256,824/394,956 = 394,956/x
  3. Step 3: Cross multiply
    256,824x = 394,956 × 394,956
  4. Step 4: Simplify right side
    256,824x = 155,990,241,936
  5. Step 5: Solve for x
    x = 155,990,241,936/256,824
  6. Step 6: Final answer
    x = 607,381.87

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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.