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Finding the Third Proportional to 9,868 and 19,916

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Solution

The third proportional to 9,868 and 19,916 is: 40,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868 : 19,916 = 19,916 : x
  2. Step 2: Convert to fraction form
    9,868/19,916 = 19,916/x
  3. Step 3: Cross multiply
    9,868x = 19,916 × 19,916
  4. Step 4: Simplify right side
    9,868x = 396,647,056
  5. Step 5: Solve for x
    x = 396,647,056/9,868
  6. Step 6: Final answer
    x = 40,195.28

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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.