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Finding the Third Proportional to 18,918 and 44,189

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Solution

The third proportional to 18,918 and 44,189 is: 103,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918 : 44,189 = 44,189 : x
  2. Step 2: Convert to fraction form
    18,918/44,189 = 44,189/x
  3. Step 3: Cross multiply
    18,918x = 44,189 × 44,189
  4. Step 4: Simplify right side
    18,918x = 1,952,667,721
  5. Step 5: Solve for x
    x = 1,952,667,721/18,918
  6. Step 6: Final answer
    x = 103,217.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.