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Finding the Third Proportional to 269,896 and 428,874

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Solution

The third proportional to 269,896 and 428,874 is: 681,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,896 : 428,874 = 428,874 : x
  2. Step 2: Convert to fraction form
    269,896/428,874 = 428,874/x
  3. Step 3: Cross multiply
    269,896x = 428,874 × 428,874
  4. Step 4: Simplify right side
    269,896x = 183,932,907,876
  5. Step 5: Solve for x
    x = 183,932,907,876/269,896
  6. Step 6: Final answer
    x = 681,495.49

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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.