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Finding the Third Proportional to 269,299 and 398,741

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Solution

The third proportional to 269,299 and 398,741 is: 590,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,299 : 398,741 = 398,741 : x
  2. Step 2: Convert to fraction form
    269,299/398,741 = 398,741/x
  3. Step 3: Cross multiply
    269,299x = 398,741 × 398,741
  4. Step 4: Simplify right side
    269,299x = 158,994,385,081
  5. Step 5: Solve for x
    x = 158,994,385,081/269,299
  6. Step 6: Final answer
    x = 590,400.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.