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Finding the Third Proportional to 216,079 and 327,099

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Solution

The third proportional to 216,079 and 327,099 is: 495,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,079 : 327,099 = 327,099 : x
  2. Step 2: Convert to fraction form
    216,079/327,099 = 327,099/x
  3. Step 3: Cross multiply
    216,079x = 327,099 × 327,099
  4. Step 4: Simplify right side
    216,079x = 106,993,755,801
  5. Step 5: Solve for x
    x = 106,993,755,801/216,079
  6. Step 6: Final answer
    x = 495,160.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.