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Finding the Third Proportional to 269,355 and 401,698

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Solution

The third proportional to 269,355 and 401,698 is: 599,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,355 : 401,698 = 401,698 : x
  2. Step 2: Convert to fraction form
    269,355/401,698 = 401,698/x
  3. Step 3: Cross multiply
    269,355x = 401,698 × 401,698
  4. Step 4: Simplify right side
    269,355x = 161,361,283,204
  5. Step 5: Solve for x
    x = 161,361,283,204/269,355
  6. Step 6: Final answer
    x = 599,065.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.