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Finding the Third Proportional to 13,975 and 21,812

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Solution

The third proportional to 13,975 and 21,812 is: 34,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975 : 21,812 = 21,812 : x
  2. Step 2: Convert to fraction form
    13,975/21,812 = 21,812/x
  3. Step 3: Cross multiply
    13,975x = 21,812 × 21,812
  4. Step 4: Simplify right side
    13,975x = 475,763,344
  5. Step 5: Solve for x
    x = 475,763,344/13,975
  6. Step 6: Final answer
    x = 34,043.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.