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Finding the Third Proportional to 18,347 and 39,286

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Solution

The third proportional to 18,347 and 39,286 is: 84,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,347 : 39,286 = 39,286 : x
  2. Step 2: Convert to fraction form
    18,347/39,286 = 39,286/x
  3. Step 3: Cross multiply
    18,347x = 39,286 × 39,286
  4. Step 4: Simplify right side
    18,347x = 1,543,389,796
  5. Step 5: Solve for x
    x = 1,543,389,796/18,347
  6. Step 6: Final answer
    x = 84,122.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.