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Finding the Third Proportional to 90,640 and 195,836

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Solution

The third proportional to 90,640 and 195,836 is: 423,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,640 : 195,836 = 195,836 : x
  2. Step 2: Convert to fraction form
    90,640/195,836 = 195,836/x
  3. Step 3: Cross multiply
    90,640x = 195,836 × 195,836
  4. Step 4: Simplify right side
    90,640x = 38,351,738,896
  5. Step 5: Solve for x
    x = 38,351,738,896/90,640
  6. Step 6: Final answer
    x = 423,121.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.