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Finding the Third Proportional to 128,096 and 192,557

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Solution

The third proportional to 128,096 and 192,557 is: 289,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,096 : 192,557 = 192,557 : x
  2. Step 2: Convert to fraction form
    128,096/192,557 = 192,557/x
  3. Step 3: Cross multiply
    128,096x = 192,557 × 192,557
  4. Step 4: Simplify right side
    128,096x = 37,078,198,249
  5. Step 5: Solve for x
    x = 37,078,198,249/128,096
  6. Step 6: Final answer
    x = 289,456.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.