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Finding the Third Proportional to 18,133 and 27,739

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Solution

The third proportional to 18,133 and 27,739 is: 42,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133 : 27,739 = 27,739 : x
  2. Step 2: Convert to fraction form
    18,133/27,739 = 27,739/x
  3. Step 3: Cross multiply
    18,133x = 27,739 × 27,739
  4. Step 4: Simplify right side
    18,133x = 769,452,121
  5. Step 5: Solve for x
    x = 769,452,121/18,133
  6. Step 6: Final answer
    x = 42,433.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.