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Finding the Third Proportional to 90,792 and 199,500

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Solution

The third proportional to 90,792 and 199,500 is: 438,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,792 : 199,500 = 199,500 : x
  2. Step 2: Convert to fraction form
    90,792/199,500 = 199,500/x
  3. Step 3: Cross multiply
    90,792x = 199,500 × 199,500
  4. Step 4: Simplify right side
    90,792x = 39,800,250,000
  5. Step 5: Solve for x
    x = 39,800,250,000/90,792
  6. Step 6: Final answer
    x = 438,367.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.