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Finding the Third Proportional to 39,966 and 81,309

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Solution

The third proportional to 39,966 and 81,309 is: 165,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,966 : 81,309 = 81,309 : x
  2. Step 2: Convert to fraction form
    39,966/81,309 = 81,309/x
  3. Step 3: Cross multiply
    39,966x = 81,309 × 81,309
  4. Step 4: Simplify right side
    39,966x = 6,611,153,481
  5. Step 5: Solve for x
    x = 6,611,153,481/39,966
  6. Step 6: Final answer
    x = 165,419.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.