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Finding the Third Proportional to 9,187 and 13,739

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Solution

The third proportional to 9,187 and 13,739 is: 20,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187 : 13,739 = 13,739 : x
  2. Step 2: Convert to fraction form
    9,187/13,739 = 13,739/x
  3. Step 3: Cross multiply
    9,187x = 13,739 × 13,739
  4. Step 4: Simplify right side
    9,187x = 188,760,121
  5. Step 5: Solve for x
    x = 188,760,121/9,187
  6. Step 6: Final answer
    x = 20,546.44

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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.