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Finding the Third Proportional to 199,966 and 438,675

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Solution

The third proportional to 199,966 and 438,675 is: 962,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,966 : 438,675 = 438,675 : x
  2. Step 2: Convert to fraction form
    199,966/438,675 = 438,675/x
  3. Step 3: Cross multiply
    199,966x = 438,675 × 438,675
  4. Step 4: Simplify right side
    199,966x = 192,435,755,625
  5. Step 5: Solve for x
    x = 192,435,755,625/199,966
  6. Step 6: Final answer
    x = 962,342.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.