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Finding the Third Proportional to 18,145 and 27,491

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Solution

The third proportional to 18,145 and 27,491 is: 41,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145 : 27,491 = 27,491 : x
  2. Step 2: Convert to fraction form
    18,145/27,491 = 27,491/x
  3. Step 3: Cross multiply
    18,145x = 27,491 × 27,491
  4. Step 4: Simplify right side
    18,145x = 755,755,081
  5. Step 5: Solve for x
    x = 755,755,081/18,145
  6. Step 6: Final answer
    x = 41,650.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.