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Finding the Third Proportional to 18,180 and 39,224

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Solution

The third proportional to 18,180 and 39,224 is: 84,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,180 : 39,224 = 39,224 : x
  2. Step 2: Convert to fraction form
    18,180/39,224 = 39,224/x
  3. Step 3: Cross multiply
    18,180x = 39,224 × 39,224
  4. Step 4: Simplify right side
    18,180x = 1,538,522,176
  5. Step 5: Solve for x
    x = 1,538,522,176/18,180
  6. Step 6: Final answer
    x = 84,627.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.