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Finding the Third Proportional to 18,292 and 39,966

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Solution

The third proportional to 18,292 and 39,966 is: 87,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292 : 39,966 = 39,966 : x
  2. Step 2: Convert to fraction form
    18,292/39,966 = 39,966/x
  3. Step 3: Cross multiply
    18,292x = 39,966 × 39,966
  4. Step 4: Simplify right side
    18,292x = 1,597,281,156
  5. Step 5: Solve for x
    x = 1,597,281,156/18,292
  6. Step 6: Final answer
    x = 87,321.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.