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Finding the Third Proportional to 196,371 and 422,802

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Solution

The third proportional to 196,371 and 422,802 is: 910,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,371 : 422,802 = 422,802 : x
  2. Step 2: Convert to fraction form
    196,371/422,802 = 422,802/x
  3. Step 3: Cross multiply
    196,371x = 422,802 × 422,802
  4. Step 4: Simplify right side
    196,371x = 178,761,531,204
  5. Step 5: Solve for x
    x = 178,761,531,204/196,371
  6. Step 6: Final answer
    x = 910,325.51

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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.