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Finding the Third Proportional to 279,083 and 587,812

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Solution

The third proportional to 279,083 and 587,812 is: 1,238,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,083 : 587,812 = 587,812 : x
  2. Step 2: Convert to fraction form
    279,083/587,812 = 587,812/x
  3. Step 3: Cross multiply
    279,083x = 587,812 × 587,812
  4. Step 4: Simplify right side
    279,083x = 345,522,947,344
  5. Step 5: Solve for x
    x = 345,522,947,344/279,083
  6. Step 6: Final answer
    x = 1,238,065.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.