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Finding the Third Proportional to 196,641 and 421,956

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Solution

The third proportional to 196,641 and 421,956 is: 905,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,641 : 421,956 = 421,956 : x
  2. Step 2: Convert to fraction form
    196,641/421,956 = 421,956/x
  3. Step 3: Cross multiply
    196,641x = 421,956 × 421,956
  4. Step 4: Simplify right side
    196,641x = 178,046,865,936
  5. Step 5: Solve for x
    x = 178,046,865,936/196,641
  6. Step 6: Final answer
    x = 905,441.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.