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Finding the Third Proportional to 13,641 and 20,013

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Solution

The third proportional to 13,641 and 20,013 is: 29,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641 : 20,013 = 20,013 : x
  2. Step 2: Convert to fraction form
    13,641/20,013 = 20,013/x
  3. Step 3: Cross multiply
    13,641x = 20,013 × 20,013
  4. Step 4: Simplify right side
    13,641x = 400,520,169
  5. Step 5: Solve for x
    x = 400,520,169/13,641
  6. Step 6: Final answer
    x = 29,361.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.