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Finding the Third Proportional to 18,204 and 25,785

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Solution

The third proportional to 18,204 and 25,785 is: 36,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204 : 25,785 = 25,785 : x
  2. Step 2: Convert to fraction form
    18,204/25,785 = 25,785/x
  3. Step 3: Cross multiply
    18,204x = 25,785 × 25,785
  4. Step 4: Simplify right side
    18,204x = 664,866,225
  5. Step 5: Solve for x
    x = 664,866,225/18,204
  6. Step 6: Final answer
    x = 36,523.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.