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Finding the Third Proportional to 9,906.75 and 19,974.75

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Solution

The third proportional to 9,906.75 and 19,974.75 is: 40,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.75 : 19,974.75 = 19,974.75 : x
  2. Step 2: Convert to fraction form
    9,906.75/19,974.75 = 19,974.75/x
  3. Step 3: Cross multiply
    9,906.75x = 19,974.75 × 19,974.75
  4. Step 4: Simplify right side
    9,906.75x = 398,990,637.56
  5. Step 5: Solve for x
    x = 398,990,637.56/9,906.75
  6. Step 6: Final answer
    x = 40,274.62

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.