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Finding the Third Proportional to 31,869 and 69,327

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Solution

The third proportional to 31,869 and 69,327 is: 150,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869 : 69,327 = 69,327 : x
  2. Step 2: Convert to fraction form
    31,869/69,327 = 69,327/x
  3. Step 3: Cross multiply
    31,869x = 69,327 × 69,327
  4. Step 4: Simplify right side
    31,869x = 4,806,232,929
  5. Step 5: Solve for x
    x = 4,806,232,929/31,869
  6. Step 6: Final answer
    x = 150,812.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.