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Finding the Third Proportional to 18,242 and 39,274

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Solution

The third proportional to 18,242 and 39,274 is: 84,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242 : 39,274 = 39,274 : x
  2. Step 2: Convert to fraction form
    18,242/39,274 = 39,274/x
  3. Step 3: Cross multiply
    18,242x = 39,274 × 39,274
  4. Step 4: Simplify right side
    18,242x = 1,542,447,076
  5. Step 5: Solve for x
    x = 1,542,447,076/18,242
  6. Step 6: Final answer
    x = 84,554.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.