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Finding the Third Proportional to 256,520 and 394,824

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Solution

The third proportional to 256,520 and 394,824 is: 607,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,520 : 394,824 = 394,824 : x
  2. Step 2: Convert to fraction form
    256,520/394,824 = 394,824/x
  3. Step 3: Cross multiply
    256,520x = 394,824 × 394,824
  4. Step 4: Simplify right side
    256,520x = 155,885,990,976
  5. Step 5: Solve for x
    x = 155,885,990,976/256,520
  6. Step 6: Final answer
    x = 607,695.27

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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.