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Finding the Third Proportional to 13,868 and 19,634

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Solution

The third proportional to 13,868 and 19,634 is: 27,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868 : 19,634 = 19,634 : x
  2. Step 2: Convert to fraction form
    13,868/19,634 = 19,634/x
  3. Step 3: Cross multiply
    13,868x = 19,634 × 19,634
  4. Step 4: Simplify right side
    13,868x = 385,493,956
  5. Step 5: Solve for x
    x = 385,493,956/13,868
  6. Step 6: Final answer
    x = 27,797.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.