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Finding the Third Proportional to 39,209 and 81,739

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Solution

The third proportional to 39,209 and 81,739 is: 170,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,209 : 81,739 = 81,739 : x
  2. Step 2: Convert to fraction form
    39,209/81,739 = 81,739/x
  3. Step 3: Cross multiply
    39,209x = 81,739 × 81,739
  4. Step 4: Simplify right side
    39,209x = 6,681,264,121
  5. Step 5: Solve for x
    x = 6,681,264,121/39,209
  6. Step 6: Final answer
    x = 170,401.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.