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Finding the Third Proportional to 18,021 and 27,609

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Solution

The third proportional to 18,021 and 27,609 is: 42,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,021 : 27,609 = 27,609 : x
  2. Step 2: Convert to fraction form
    18,021/27,609 = 27,609/x
  3. Step 3: Cross multiply
    18,021x = 27,609 × 27,609
  4. Step 4: Simplify right side
    18,021x = 762,256,881
  5. Step 5: Solve for x
    x = 762,256,881/18,021
  6. Step 6: Final answer
    x = 42,298.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.