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Finding the Third Proportional to 269,100 and 428,274

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Solution

The third proportional to 269,100 and 428,274 is: 681,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,100 : 428,274 = 428,274 : x
  2. Step 2: Convert to fraction form
    269,100/428,274 = 428,274/x
  3. Step 3: Cross multiply
    269,100x = 428,274 × 428,274
  4. Step 4: Simplify right side
    269,100x = 183,418,619,076
  5. Step 5: Solve for x
    x = 183,418,619,076/269,100
  6. Step 6: Final answer
    x = 681,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.