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Finding the Third Proportional to 269,422 and 392,286

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Solution

The third proportional to 269,422 and 392,286 is: 571,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,422 : 392,286 = 392,286 : x
  2. Step 2: Convert to fraction form
    269,422/392,286 = 392,286/x
  3. Step 3: Cross multiply
    269,422x = 392,286 × 392,286
  4. Step 4: Simplify right side
    269,422x = 153,888,305,796
  5. Step 5: Solve for x
    x = 153,888,305,796/269,422
  6. Step 6: Final answer
    x = 571,179.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.