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Finding the Third Proportional to 192,866 and 289,108

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Solution

The third proportional to 192,866 and 289,108 is: 433,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,866 : 289,108 = 289,108 : x
  2. Step 2: Convert to fraction form
    192,866/289,108 = 289,108/x
  3. Step 3: Cross multiply
    192,866x = 289,108 × 289,108
  4. Step 4: Simplify right side
    192,866x = 83,583,435,664
  5. Step 5: Solve for x
    x = 83,583,435,664/192,866
  6. Step 6: Final answer
    x = 433,375.69

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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.