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Finding the Third Proportional to 128,576 and 192,099

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Solution

The third proportional to 128,576 and 192,099 is: 287,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,576 : 192,099 = 192,099 : x
  2. Step 2: Convert to fraction form
    128,576/192,099 = 192,099/x
  3. Step 3: Cross multiply
    128,576x = 192,099 × 192,099
  4. Step 4: Simplify right side
    128,576x = 36,902,025,801
  5. Step 5: Solve for x
    x = 36,902,025,801/128,576
  6. Step 6: Final answer
    x = 287,005.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.