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Finding the Third Proportional to 299,955 and 421,866

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Solution

The third proportional to 299,955 and 421,866 is: 593,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,955 : 421,866 = 421,866 : x
  2. Step 2: Convert to fraction form
    299,955/421,866 = 421,866/x
  3. Step 3: Cross multiply
    299,955x = 421,866 × 421,866
  4. Step 4: Simplify right side
    299,955x = 177,970,921,956
  5. Step 5: Solve for x
    x = 177,970,921,956/299,955
  6. Step 6: Final answer
    x = 593,325.41

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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.