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Finding the Third Proportional to 39,869 and 81,581

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Solution

The third proportional to 39,869 and 81,581 is: 166,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869 : 81,581 = 81,581 : x
  2. Step 2: Convert to fraction form
    39,869/81,581 = 81,581/x
  3. Step 3: Cross multiply
    39,869x = 81,581 × 81,581
  4. Step 4: Simplify right side
    39,869x = 6,655,459,561
  5. Step 5: Solve for x
    x = 6,655,459,561/39,869
  6. Step 6: Final answer
    x = 166,933.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.