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Finding the Third Proportional to 282,708 and 396,213

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Solution

The third proportional to 282,708 and 396,213 is: 555,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,708 : 396,213 = 396,213 : x
  2. Step 2: Convert to fraction form
    282,708/396,213 = 396,213/x
  3. Step 3: Cross multiply
    282,708x = 396,213 × 396,213
  4. Step 4: Simplify right side
    282,708x = 156,984,741,369
  5. Step 5: Solve for x
    x = 156,984,741,369/282,708
  6. Step 6: Final answer
    x = 555,289.35

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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.