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Finding the Third Proportional to 13,826 and 20,739

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Solution

The third proportional to 13,826 and 20,739 is: 31,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 20,739 = 20,739 : x
  2. Step 2: Convert to fraction form
    13,826/20,739 = 20,739/x
  3. Step 3: Cross multiply
    13,826x = 20,739 × 20,739
  4. Step 4: Simplify right side
    13,826x = 430,106,121
  5. Step 5: Solve for x
    x = 430,106,121/13,826
  6. Step 6: Final answer
    x = 31,108.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.