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Finding the Third Proportional to 11,908 and 17,840

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Solution

The third proportional to 11,908 and 17,840 is: 26,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908 : 17,840 = 17,840 : x
  2. Step 2: Convert to fraction form
    11,908/17,840 = 17,840/x
  3. Step 3: Cross multiply
    11,908x = 17,840 × 17,840
  4. Step 4: Simplify right side
    11,908x = 318,265,600
  5. Step 5: Solve for x
    x = 318,265,600/11,908
  6. Step 6: Final answer
    x = 26,727.04

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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.