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Finding the Third Proportional to 128,864 and 192,696

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Solution

The third proportional to 128,864 and 192,696 is: 288,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,864 : 192,696 = 192,696 : x
  2. Step 2: Convert to fraction form
    128,864/192,696 = 192,696/x
  3. Step 3: Cross multiply
    128,864x = 192,696 × 192,696
  4. Step 4: Simplify right side
    128,864x = 37,131,748,416
  5. Step 5: Solve for x
    x = 37,131,748,416/128,864
  6. Step 6: Final answer
    x = 288,146.79

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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.