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Finding the Third Proportional to 13,878 and 21,163

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Solution

The third proportional to 13,878 and 21,163 is: 32,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 21,163 = 21,163 : x
  2. Step 2: Convert to fraction form
    13,878/21,163 = 21,163/x
  3. Step 3: Cross multiply
    13,878x = 21,163 × 21,163
  4. Step 4: Simplify right side
    13,878x = 447,872,569
  5. Step 5: Solve for x
    x = 447,872,569/13,878
  6. Step 6: Final answer
    x = 32,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.