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Finding the Third Proportional to 9,816 and 20,198

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Solution

The third proportional to 9,816 and 20,198 is: 41,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816 : 20,198 = 20,198 : x
  2. Step 2: Convert to fraction form
    9,816/20,198 = 20,198/x
  3. Step 3: Cross multiply
    9,816x = 20,198 × 20,198
  4. Step 4: Simplify right side
    9,816x = 407,959,204
  5. Step 5: Solve for x
    x = 407,959,204/9,816
  6. Step 6: Final answer
    x = 41,560.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.