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Finding the Third Proportional to 18,238 and 27,242

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Solution

The third proportional to 18,238 and 27,242 is: 40,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238 : 27,242 = 27,242 : x
  2. Step 2: Convert to fraction form
    18,238/27,242 = 27,242/x
  3. Step 3: Cross multiply
    18,238x = 27,242 × 27,242
  4. Step 4: Simplify right side
    18,238x = 742,126,564
  5. Step 5: Solve for x
    x = 742,126,564/18,238
  6. Step 6: Final answer
    x = 40,691.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.