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Finding the Third Proportional to 279,948 and 422,238

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Solution

The third proportional to 279,948 and 422,238 is: 636,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,948 : 422,238 = 422,238 : x
  2. Step 2: Convert to fraction form
    279,948/422,238 = 422,238/x
  3. Step 3: Cross multiply
    279,948x = 422,238 × 422,238
  4. Step 4: Simplify right side
    279,948x = 178,284,928,644
  5. Step 5: Solve for x
    x = 178,284,928,644/279,948
  6. Step 6: Final answer
    x = 636,850.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.