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Finding the Third Proportional to 39,209 and 82,063

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Solution

The third proportional to 39,209 and 82,063 is: 171,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,209 : 82,063 = 82,063 : x
  2. Step 2: Convert to fraction form
    39,209/82,063 = 82,063/x
  3. Step 3: Cross multiply
    39,209x = 82,063 × 82,063
  4. Step 4: Simplify right side
    39,209x = 6,734,335,969
  5. Step 5: Solve for x
    x = 6,734,335,969/39,209
  6. Step 6: Final answer
    x = 171,754.85

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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.