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Finding the Third Proportional to 269,858 and 428,907

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Solution

The third proportional to 269,858 and 428,907 is: 681,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,858 : 428,907 = 428,907 : x
  2. Step 2: Convert to fraction form
    269,858/428,907 = 428,907/x
  3. Step 3: Cross multiply
    269,858x = 428,907 × 428,907
  4. Step 4: Simplify right side
    269,858x = 183,961,214,649
  5. Step 5: Solve for x
    x = 183,961,214,649/269,858
  6. Step 6: Final answer
    x = 681,696.35

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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.