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Finding the Third Proportional to 131,728 and 195,305

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Solution

The third proportional to 131,728 and 195,305 is: 289,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,728 : 195,305 = 195,305 : x
  2. Step 2: Convert to fraction form
    131,728/195,305 = 195,305/x
  3. Step 3: Cross multiply
    131,728x = 195,305 × 195,305
  4. Step 4: Simplify right side
    131,728x = 38,144,043,025
  5. Step 5: Solve for x
    x = 38,144,043,025/131,728
  6. Step 6: Final answer
    x = 289,566.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.