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Finding the Third Proportional to 13,638 and 30,021

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Solution

The third proportional to 13,638 and 30,021 is: 66,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638 : 30,021 = 30,021 : x
  2. Step 2: Convert to fraction form
    13,638/30,021 = 30,021/x
  3. Step 3: Cross multiply
    13,638x = 30,021 × 30,021
  4. Step 4: Simplify right side
    13,638x = 901,260,441
  5. Step 5: Solve for x
    x = 901,260,441/13,638
  6. Step 6: Final answer
    x = 66,084.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.