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Finding the Third Proportional to 150,638 and 199,918

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Solution

The third proportional to 150,638 and 199,918 is: 265,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,638 : 199,918 = 199,918 : x
  2. Step 2: Convert to fraction form
    150,638/199,918 = 199,918/x
  3. Step 3: Cross multiply
    150,638x = 199,918 × 199,918
  4. Step 4: Simplify right side
    150,638x = 39,967,206,724
  5. Step 5: Solve for x
    x = 39,967,206,724/150,638
  6. Step 6: Final answer
    x = 265,319.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.