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Finding the Third Proportional to 39,869 and 82,330

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Solution

The third proportional to 39,869 and 82,330 is: 170,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869 : 82,330 = 82,330 : x
  2. Step 2: Convert to fraction form
    39,869/82,330 = 82,330/x
  3. Step 3: Cross multiply
    39,869x = 82,330 × 82,330
  4. Step 4: Simplify right side
    39,869x = 6,778,228,900
  5. Step 5: Solve for x
    x = 6,778,228,900/39,869
  6. Step 6: Final answer
    x = 170,012.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.