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Finding the Third Proportional to 18,027 and 39,561

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Solution

The third proportional to 18,027 and 39,561 is: 86,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,027 : 39,561 = 39,561 : x
  2. Step 2: Convert to fraction form
    18,027/39,561 = 39,561/x
  3. Step 3: Cross multiply
    18,027x = 39,561 × 39,561
  4. Step 4: Simplify right side
    18,027x = 1,565,072,721
  5. Step 5: Solve for x
    x = 1,565,072,721/18,027
  6. Step 6: Final answer
    x = 86,818.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.