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Finding the Third Proportional to 269,100 and 422,172

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Solution

The third proportional to 269,100 and 422,172 is: 662,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,100 : 422,172 = 422,172 : x
  2. Step 2: Convert to fraction form
    269,100/422,172 = 422,172/x
  3. Step 3: Cross multiply
    269,100x = 422,172 × 422,172
  4. Step 4: Simplify right side
    269,100x = 178,229,197,584
  5. Step 5: Solve for x
    x = 178,229,197,584/269,100
  6. Step 6: Final answer
    x = 662,315.86

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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.