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Finding the Third Proportional to 128,860 and 192,690

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Solution

The third proportional to 128,860 and 192,690 is: 288,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,860 : 192,690 = 192,690 : x
  2. Step 2: Convert to fraction form
    128,860/192,690 = 192,690/x
  3. Step 3: Cross multiply
    128,860x = 192,690 × 192,690
  4. Step 4: Simplify right side
    128,860x = 37,129,436,100
  5. Step 5: Solve for x
    x = 37,129,436,100/128,860
  6. Step 6: Final answer
    x = 288,137.79

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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.