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Finding the Third Proportional to 131,163.75 and 192,447

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Solution

The third proportional to 131,163.75 and 192,447 is: 282,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,163.75 : 192,447 = 192,447 : x
  2. Step 2: Convert to fraction form
    131,163.75/192,447 = 192,447/x
  3. Step 3: Cross multiply
    131,163.75x = 192,447 × 192,447
  4. Step 4: Simplify right side
    131,163.75x = 37,035,847,809
  5. Step 5: Solve for x
    x = 37,035,847,809/131,163.75
  6. Step 6: Final answer
    x = 282,363.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.