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Finding the Third Proportional to 196,373 and 422,806

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Solution

The third proportional to 196,373 and 422,806 is: 910,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,373 : 422,806 = 422,806 : x
  2. Step 2: Convert to fraction form
    196,373/422,806 = 422,806/x
  3. Step 3: Cross multiply
    196,373x = 422,806 × 422,806
  4. Step 4: Simplify right side
    196,373x = 178,764,913,636
  5. Step 5: Solve for x
    x = 178,764,913,636/196,373
  6. Step 6: Final answer
    x = 910,333.47

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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.