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Finding the Third Proportional to 195,006 and 421,995

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Solution

The third proportional to 195,006 and 421,995 is: 913,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,006 : 421,995 = 421,995 : x
  2. Step 2: Convert to fraction form
    195,006/421,995 = 421,995/x
  3. Step 3: Cross multiply
    195,006x = 421,995 × 421,995
  4. Step 4: Simplify right side
    195,006x = 178,079,780,025
  5. Step 5: Solve for x
    x = 178,079,780,025/195,006
  6. Step 6: Final answer
    x = 913,201.54

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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.