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Finding the Third Proportional to 89,489.25 and 192,990.38

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Solution

The third proportional to 89,489.25 and 192,990.38 is: 416,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,489.25 : 192,990.38 = 192,990.38 : x
  2. Step 2: Convert to fraction form
    89,489.25/192,990.38 = 192,990.38/x
  3. Step 3: Cross multiply
    89,489.25x = 192,990.38 × 192,990.38
  4. Step 4: Simplify right side
    89,489.25x = 37,245,284,842.64
  5. Step 5: Solve for x
    x = 37,245,284,842.64/89,489.25
  6. Step 6: Final answer
    x = 416,198.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.