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Finding the Third Proportional to 199,497 and 280,588

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Solution

The third proportional to 199,497 and 280,588 is: 394,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,497 : 280,588 = 280,588 : x
  2. Step 2: Convert to fraction form
    199,497/280,588 = 280,588/x
  3. Step 3: Cross multiply
    199,497x = 280,588 × 280,588
  4. Step 4: Simplify right side
    199,497x = 78,729,625,744
  5. Step 5: Solve for x
    x = 78,729,625,744/199,497
  6. Step 6: Final answer
    x = 394,640.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.