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Finding the Third Proportional to 9,891 and 13,878

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Solution

The third proportional to 9,891 and 13,878 is: 19,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 13,878 = 13,878 : x
  2. Step 2: Convert to fraction form
    9,891/13,878 = 13,878/x
  3. Step 3: Cross multiply
    9,891x = 13,878 × 13,878
  4. Step 4: Simplify right side
    9,891x = 192,598,884
  5. Step 5: Solve for x
    x = 192,598,884/9,891
  6. Step 6: Final answer
    x = 19,472.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.