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Finding the Third Proportional to 269,592 and 422,874

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Solution

The third proportional to 269,592 and 422,874 is: 663,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,592 : 422,874 = 422,874 : x
  2. Step 2: Convert to fraction form
    269,592/422,874 = 422,874/x
  3. Step 3: Cross multiply
    269,592x = 422,874 × 422,874
  4. Step 4: Simplify right side
    269,592x = 178,822,419,876
  5. Step 5: Solve for x
    x = 178,822,419,876/269,592
  6. Step 6: Final answer
    x = 663,307.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.