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Finding the Third Proportional to 13,872 and 21,339

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Solution

The third proportional to 13,872 and 21,339 is: 32,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872 : 21,339 = 21,339 : x
  2. Step 2: Convert to fraction form
    13,872/21,339 = 21,339/x
  3. Step 3: Cross multiply
    13,872x = 21,339 × 21,339
  4. Step 4: Simplify right side
    13,872x = 455,352,921
  5. Step 5: Solve for x
    x = 455,352,921/13,872
  6. Step 6: Final answer
    x = 32,825.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.