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Finding the Third Proportional to 256,538 and 394,648

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Solution

The third proportional to 256,538 and 394,648 is: 607,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,538 : 394,648 = 394,648 : x
  2. Step 2: Convert to fraction form
    256,538/394,648 = 394,648/x
  3. Step 3: Cross multiply
    256,538x = 394,648 × 394,648
  4. Step 4: Simplify right side
    256,538x = 155,747,043,904
  5. Step 5: Solve for x
    x = 155,747,043,904/256,538
  6. Step 6: Final answer
    x = 607,111.01

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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.