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Finding the Third Proportional to 11,920 and 18,872

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Solution

The third proportional to 11,920 and 18,872 is: 29,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 18,872 = 18,872 : x
  2. Step 2: Convert to fraction form
    11,920/18,872 = 18,872/x
  3. Step 3: Cross multiply
    11,920x = 18,872 × 18,872
  4. Step 4: Simplify right side
    11,920x = 356,152,384
  5. Step 5: Solve for x
    x = 356,152,384/11,920
  6. Step 6: Final answer
    x = 29,878.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.