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Finding the Third Proportional to 39,207 and 82,059

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Solution

The third proportional to 39,207 and 82,059 is: 171,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,207 : 82,059 = 82,059 : x
  2. Step 2: Convert to fraction form
    39,207/82,059 = 82,059/x
  3. Step 3: Cross multiply
    39,207x = 82,059 × 82,059
  4. Step 4: Simplify right side
    39,207x = 6,733,679,481
  5. Step 5: Solve for x
    x = 6,733,679,481/39,207
  6. Step 6: Final answer
    x = 171,746.87

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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.