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Finding the Third Proportional to 128,569 and 192,729

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Solution

The third proportional to 128,569 and 192,729 is: 288,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,569 : 192,729 = 192,729 : x
  2. Step 2: Convert to fraction form
    128,569/192,729 = 192,729/x
  3. Step 3: Cross multiply
    128,569x = 192,729 × 192,729
  4. Step 4: Simplify right side
    128,569x = 37,144,467,441
  5. Step 5: Solve for x
    x = 37,144,467,441/128,569
  6. Step 6: Final answer
    x = 288,906.87

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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.