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Finding the Third Proportional to 39,318 and 82,281

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Solution

The third proportional to 39,318 and 82,281 is: 172,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318 : 82,281 = 82,281 : x
  2. Step 2: Convert to fraction form
    39,318/82,281 = 82,281/x
  3. Step 3: Cross multiply
    39,318x = 82,281 × 82,281
  4. Step 4: Simplify right side
    39,318x = 6,770,162,961
  5. Step 5: Solve for x
    x = 6,770,162,961/39,318
  6. Step 6: Final answer
    x = 172,189.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.