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Finding the Third Proportional to 282,684 and 396,177

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Solution

The third proportional to 282,684 and 396,177 is: 555,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,684 : 396,177 = 396,177 : x
  2. Step 2: Convert to fraction form
    282,684/396,177 = 396,177/x
  3. Step 3: Cross multiply
    282,684x = 396,177 × 396,177
  4. Step 4: Simplify right side
    282,684x = 156,956,215,329
  5. Step 5: Solve for x
    x = 156,956,215,329/282,684
  6. Step 6: Final answer
    x = 555,235.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.