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Finding the Third Proportional to 27,489 and 58,218

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Solution

The third proportional to 27,489 and 58,218 is: 123,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489 : 58,218 = 58,218 : x
  2. Step 2: Convert to fraction form
    27,489/58,218 = 58,218/x
  3. Step 3: Cross multiply
    27,489x = 58,218 × 58,218
  4. Step 4: Simplify right side
    27,489x = 3,389,335,524
  5. Step 5: Solve for x
    x = 3,389,335,524/27,489
  6. Step 6: Final answer
    x = 123,297.88

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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.