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Finding the Third Proportional to 282,559 and 396,005

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Solution

The third proportional to 282,559 and 396,005 is: 554,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,559 : 396,005 = 396,005 : x
  2. Step 2: Convert to fraction form
    282,559/396,005 = 396,005/x
  3. Step 3: Cross multiply
    282,559x = 396,005 × 396,005
  4. Step 4: Simplify right side
    282,559x = 156,819,960,025
  5. Step 5: Solve for x
    x = 156,819,960,025/282,559
  6. Step 6: Final answer
    x = 554,998.99

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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.