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Finding the Third Proportional to 11,908 and 17,827

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Solution

The third proportional to 11,908 and 17,827 is: 26,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908 : 17,827 = 17,827 : x
  2. Step 2: Convert to fraction form
    11,908/17,827 = 17,827/x
  3. Step 3: Cross multiply
    11,908x = 17,827 × 17,827
  4. Step 4: Simplify right side
    11,908x = 317,801,929
  5. Step 5: Solve for x
    x = 317,801,929/11,908
  6. Step 6: Final answer
    x = 26,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.