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Finding the Third Proportional to 11,711 and 17,999

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Solution

The third proportional to 11,711 and 17,999 is: 27,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711 : 17,999 = 17,999 : x
  2. Step 2: Convert to fraction form
    11,711/17,999 = 17,999/x
  3. Step 3: Cross multiply
    11,711x = 17,999 × 17,999
  4. Step 4: Simplify right side
    11,711x = 323,964,001
  5. Step 5: Solve for x
    x = 323,964,001/11,711
  6. Step 6: Final answer
    x = 27,663.22

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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.