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Finding the Third Proportional to 13,078 and 16,782

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Solution

The third proportional to 13,078 and 16,782 is: 21,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078 : 16,782 = 16,782 : x
  2. Step 2: Convert to fraction form
    13,078/16,782 = 16,782/x
  3. Step 3: Cross multiply
    13,078x = 16,782 × 16,782
  4. Step 4: Simplify right side
    13,078x = 281,635,524
  5. Step 5: Solve for x
    x = 281,635,524/13,078
  6. Step 6: Final answer
    x = 21,535.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.