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Finding the Third Proportional to 201,869 and 438,081

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Solution

The third proportional to 201,869 and 438,081 is: 950,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869 : 438,081 = 438,081 : x
  2. Step 2: Convert to fraction form
    201,869/438,081 = 438,081/x
  3. Step 3: Cross multiply
    201,869x = 438,081 × 438,081
  4. Step 4: Simplify right side
    201,869x = 191,914,962,561
  5. Step 5: Solve for x
    x = 191,914,962,561/201,869
  6. Step 6: Final answer
    x = 950,690.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.