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Finding the Third Proportional to 13,763 and 20,908

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Solution

The third proportional to 13,763 and 20,908 is: 31,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763 : 20,908 = 20,908 : x
  2. Step 2: Convert to fraction form
    13,763/20,908 = 20,908/x
  3. Step 3: Cross multiply
    13,763x = 20,908 × 20,908
  4. Step 4: Simplify right side
    13,763x = 437,144,464
  5. Step 5: Solve for x
    x = 437,144,464/13,763
  6. Step 6: Final answer
    x = 31,762.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.