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Finding the Third Proportional to 256,548 and 394,908

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Solution

The third proportional to 256,548 and 394,908 is: 607,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,548 : 394,908 = 394,908 : x
  2. Step 2: Convert to fraction form
    256,548/394,908 = 394,908/x
  3. Step 3: Cross multiply
    256,548x = 394,908 × 394,908
  4. Step 4: Simplify right side
    256,548x = 155,952,328,464
  5. Step 5: Solve for x
    x = 155,952,328,464/256,548
  6. Step 6: Final answer
    x = 607,887.52

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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.