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Finding the Third Proportional to 196,742 and 422,158

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Solution

The third proportional to 196,742 and 422,158 is: 905,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,742 : 422,158 = 422,158 : x
  2. Step 2: Convert to fraction form
    196,742/422,158 = 422,158/x
  3. Step 3: Cross multiply
    196,742x = 422,158 × 422,158
  4. Step 4: Simplify right side
    196,742x = 178,217,376,964
  5. Step 5: Solve for x
    x = 178,217,376,964/196,742
  6. Step 6: Final answer
    x = 905,843.07

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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.