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Finding the Third Proportional to 269,469 and 422,717

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Solution

The third proportional to 269,469 and 422,717 is: 663,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,469 : 422,717 = 422,717 : x
  2. Step 2: Convert to fraction form
    269,469/422,717 = 422,717/x
  3. Step 3: Cross multiply
    269,469x = 422,717 × 422,717
  4. Step 4: Simplify right side
    269,469x = 178,689,662,089
  5. Step 5: Solve for x
    x = 178,689,662,089/269,469
  6. Step 6: Final answer
    x = 663,117.69

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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.