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Finding the Third Proportional to 18,228 and 39,224

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Solution

The third proportional to 18,228 and 39,224 is: 84,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,228 : 39,224 = 39,224 : x
  2. Step 2: Convert to fraction form
    18,228/39,224 = 39,224/x
  3. Step 3: Cross multiply
    18,228x = 39,224 × 39,224
  4. Step 4: Simplify right side
    18,228x = 1,538,522,176
  5. Step 5: Solve for x
    x = 1,538,522,176/18,228
  6. Step 6: Final answer
    x = 84,404.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.