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Finding the Third Proportional to 128,571 and 192,731

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Solution

The third proportional to 128,571 and 192,731 is: 288,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,571 : 192,731 = 192,731 : x
  2. Step 2: Convert to fraction form
    128,571/192,731 = 192,731/x
  3. Step 3: Cross multiply
    128,571x = 192,731 × 192,731
  4. Step 4: Simplify right side
    128,571x = 37,145,238,361
  5. Step 5: Solve for x
    x = 37,145,238,361/128,571
  6. Step 6: Final answer
    x = 288,908.37

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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.