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Finding the Third Proportional to 256,672 and 396,672

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Solution

The third proportional to 256,672 and 396,672 is: 613,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,672 : 396,672 = 396,672 : x
  2. Step 2: Convert to fraction form
    256,672/396,672 = 396,672/x
  3. Step 3: Cross multiply
    256,672x = 396,672 × 396,672
  4. Step 4: Simplify right side
    256,672x = 157,348,675,584
  5. Step 5: Solve for x
    x = 157,348,675,584/256,672
  6. Step 6: Final answer
    x = 613,034.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.