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Finding the Third Proportional to 12,137.75 and 18,317.88

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Solution

The third proportional to 12,137.75 and 18,317.88 is: 27,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.75 : 18,317.88 = 18,317.88 : x
  2. Step 2: Convert to fraction form
    12,137.75/18,317.88 = 18,317.88/x
  3. Step 3: Cross multiply
    12,137.75x = 18,317.88 × 18,317.88
  4. Step 4: Simplify right side
    12,137.75x = 335,544,544.52
  5. Step 5: Solve for x
    x = 335,544,544.52/12,137.75
  6. Step 6: Final answer
    x = 27,644.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.