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Finding the Third Proportional to 194,996 and 421,974

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Solution

The third proportional to 194,996 and 421,974 is: 913,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,996 : 421,974 = 421,974 : x
  2. Step 2: Convert to fraction form
    194,996/421,974 = 421,974/x
  3. Step 3: Cross multiply
    194,996x = 421,974 × 421,974
  4. Step 4: Simplify right side
    194,996x = 178,062,056,676
  5. Step 5: Solve for x
    x = 178,062,056,676/194,996
  6. Step 6: Final answer
    x = 913,157.48

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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.