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Finding the Third Proportional to 256,533 and 394,641

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Solution

The third proportional to 256,533 and 394,641 is: 607,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,533 : 394,641 = 394,641 : x
  2. Step 2: Convert to fraction form
    256,533/394,641 = 394,641/x
  3. Step 3: Cross multiply
    256,533x = 394,641 × 394,641
  4. Step 4: Simplify right side
    256,533x = 155,741,518,881
  5. Step 5: Solve for x
    x = 155,741,518,881/256,533
  6. Step 6: Final answer
    x = 607,101.30

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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.