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Finding the Third Proportional to 196,914 and 421,828

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Solution

The third proportional to 196,914 and 421,828 is: 903,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,914 : 421,828 = 421,828 : x
  2. Step 2: Convert to fraction form
    196,914/421,828 = 421,828/x
  3. Step 3: Cross multiply
    196,914x = 421,828 × 421,828
  4. Step 4: Simplify right side
    196,914x = 177,938,861,584
  5. Step 5: Solve for x
    x = 177,938,861,584/196,914
  6. Step 6: Final answer
    x = 903,637.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.