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Finding the Third Proportional to 11,934 and 19,781

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Solution

The third proportional to 11,934 and 19,781 is: 32,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934 : 19,781 = 19,781 : x
  2. Step 2: Convert to fraction form
    11,934/19,781 = 19,781/x
  3. Step 3: Cross multiply
    11,934x = 19,781 × 19,781
  4. Step 4: Simplify right side
    11,934x = 391,287,961
  5. Step 5: Solve for x
    x = 391,287,961/11,934
  6. Step 6: Final answer
    x = 32,787.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.