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Finding the Third Proportional to 16,380 and 20,763

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Solution

The third proportional to 16,380 and 20,763 is: 26,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380 : 20,763 = 20,763 : x
  2. Step 2: Convert to fraction form
    16,380/20,763 = 20,763/x
  3. Step 3: Cross multiply
    16,380x = 20,763 × 20,763
  4. Step 4: Simplify right side
    16,380x = 431,102,169
  5. Step 5: Solve for x
    x = 431,102,169/16,380
  6. Step 6: Final answer
    x = 26,318.81

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.