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Finding the Third Proportional to 194,322 and 421,839

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Solution

The third proportional to 194,322 and 421,839 is: 915,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322 : 421,839 = 421,839 : x
  2. Step 2: Convert to fraction form
    194,322/421,839 = 421,839/x
  3. Step 3: Cross multiply
    194,322x = 421,839 × 421,839
  4. Step 4: Simplify right side
    194,322x = 177,948,141,921
  5. Step 5: Solve for x
    x = 177,948,141,921/194,322
  6. Step 6: Final answer
    x = 915,738.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.