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Finding the Third Proportional to 269,257 and 422,420

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Solution

The third proportional to 269,257 and 422,420 is: 662,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,257 : 422,420 = 422,420 : x
  2. Step 2: Convert to fraction form
    269,257/422,420 = 422,420/x
  3. Step 3: Cross multiply
    269,257x = 422,420 × 422,420
  4. Step 4: Simplify right side
    269,257x = 178,438,656,400
  5. Step 5: Solve for x
    x = 178,438,656,400/269,257
  6. Step 6: Final answer
    x = 662,707.59

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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.