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Finding the Third Proportional to 299,974.50 and 421,893

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Solution

The third proportional to 299,974.50 and 421,893 is: 593,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,974.50 : 421,893 = 421,893 : x
  2. Step 2: Convert to fraction form
    299,974.50/421,893 = 421,893/x
  3. Step 3: Cross multiply
    299,974.50x = 421,893 × 421,893
  4. Step 4: Simplify right side
    299,974.50x = 177,993,703,449
  5. Step 5: Solve for x
    x = 177,993,703,449/299,974.50
  6. Step 6: Final answer
    x = 593,362.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.