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Finding the Third Proportional to 18,027 and 37,431

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Solution

The third proportional to 18,027 and 37,431 is: 77,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,027 : 37,431 = 37,431 : x
  2. Step 2: Convert to fraction form
    18,027/37,431 = 37,431/x
  3. Step 3: Cross multiply
    18,027x = 37,431 × 37,431
  4. Step 4: Simplify right side
    18,027x = 1,401,079,761
  5. Step 5: Solve for x
    x = 1,401,079,761/18,027
  6. Step 6: Final answer
    x = 77,721.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.