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Finding the Third Proportional to 12,165.75 and 18,480.38

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Solution

The third proportional to 12,165.75 and 18,480.38 is: 28,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.75 : 18,480.38 = 18,480.38 : x
  2. Step 2: Convert to fraction form
    12,165.75/18,480.38 = 18,480.38/x
  3. Step 3: Cross multiply
    12,165.75x = 18,480.38 × 18,480.38
  4. Step 4: Simplify right side
    12,165.75x = 341,524,260.14
  5. Step 5: Solve for x
    x = 341,524,260.14/12,165.75
  6. Step 6: Final answer
    x = 28,072.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.