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Finding the Third Proportional to 11,639 and 17,855

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Solution

The third proportional to 11,639 and 17,855 is: 27,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639 : 17,855 = 17,855 : x
  2. Step 2: Convert to fraction form
    11,639/17,855 = 17,855/x
  3. Step 3: Cross multiply
    11,639x = 17,855 × 17,855
  4. Step 4: Simplify right side
    11,639x = 318,801,025
  5. Step 5: Solve for x
    x = 318,801,025/11,639
  6. Step 6: Final answer
    x = 27,390.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.