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Finding the Third Proportional to 279,081 and 587,808

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Solution

The third proportional to 279,081 and 587,808 is: 1,238,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,081 : 587,808 = 587,808 : x
  2. Step 2: Convert to fraction form
    279,081/587,808 = 587,808/x
  3. Step 3: Cross multiply
    279,081x = 587,808 × 587,808
  4. Step 4: Simplify right side
    279,081x = 345,518,244,864
  5. Step 5: Solve for x
    x = 345,518,244,864/279,081
  6. Step 6: Final answer
    x = 1,238,057.21

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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.