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Finding the Third Proportional to 18,236 and 38,738

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Solution

The third proportional to 18,236 and 38,738 is: 82,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236 : 38,738 = 38,738 : x
  2. Step 2: Convert to fraction form
    18,236/38,738 = 38,738/x
  3. Step 3: Cross multiply
    18,236x = 38,738 × 38,738
  4. Step 4: Simplify right side
    18,236x = 1,500,632,644
  5. Step 5: Solve for x
    x = 1,500,632,644/18,236
  6. Step 6: Final answer
    x = 82,289.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.