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Finding the Third Proportional to 256,680 and 396,684

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Solution

The third proportional to 256,680 and 396,684 is: 613,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,680 : 396,684 = 396,684 : x
  2. Step 2: Convert to fraction form
    256,680/396,684 = 396,684/x
  3. Step 3: Cross multiply
    256,680x = 396,684 × 396,684
  4. Step 4: Simplify right side
    256,680x = 157,358,195,856
  5. Step 5: Solve for x
    x = 157,358,195,856/256,680
  6. Step 6: Final answer
    x = 613,052.03

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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.