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Finding the Third Proportional to 12,679.75 and 18,550.13

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Solution

The third proportional to 12,679.75 and 18,550.13 is: 27,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.75 : 18,550.13 = 18,550.13 : x
  2. Step 2: Convert to fraction form
    12,679.75/18,550.13 = 18,550.13/x
  3. Step 3: Cross multiply
    12,679.75x = 18,550.13 × 18,550.13
  4. Step 4: Simplify right side
    12,679.75x = 344,107,137.52
  5. Step 5: Solve for x
    x = 344,107,137.52/12,679.75
  6. Step 6: Final answer
    x = 27,138.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.