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Finding the Third Proportional to 10,872 and 13,320

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Solution

The third proportional to 10,872 and 13,320 is: 16,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872 : 13,320 = 13,320 : x
  2. Step 2: Convert to fraction form
    10,872/13,320 = 13,320/x
  3. Step 3: Cross multiply
    10,872x = 13,320 × 13,320
  4. Step 4: Simplify right side
    10,872x = 177,422,400
  5. Step 5: Solve for x
    x = 177,422,400/10,872
  6. Step 6: Final answer
    x = 16,319.21

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.