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Finding the Third Proportional to 282,704 and 396,207

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Solution

The third proportional to 282,704 and 396,207 is: 555,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,704 : 396,207 = 396,207 : x
  2. Step 2: Convert to fraction form
    282,704/396,207 = 396,207/x
  3. Step 3: Cross multiply
    282,704x = 396,207 × 396,207
  4. Step 4: Simplify right side
    282,704x = 156,979,986,849
  5. Step 5: Solve for x
    x = 156,979,986,849/282,704
  6. Step 6: Final answer
    x = 555,280.39

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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.