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Finding the Third Proportional to 92,450 and 199,150

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Solution

The third proportional to 92,450 and 199,150 is: 428,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,450 : 199,150 = 199,150 : x
  2. Step 2: Convert to fraction form
    92,450/199,150 = 199,150/x
  3. Step 3: Cross multiply
    92,450x = 199,150 × 199,150
  4. Step 4: Simplify right side
    92,450x = 39,660,722,500
  5. Step 5: Solve for x
    x = 39,660,722,500/92,450
  6. Step 6: Final answer
    x = 428,996.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.