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Finding the Third Proportional to 196,791 and 422,250

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Solution

The third proportional to 196,791 and 422,250 is: 906,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,791 : 422,250 = 422,250 : x
  2. Step 2: Convert to fraction form
    196,791/422,250 = 422,250/x
  3. Step 3: Cross multiply
    196,791x = 422,250 × 422,250
  4. Step 4: Simplify right side
    196,791x = 178,295,062,500
  5. Step 5: Solve for x
    x = 178,295,062,500/196,791
  6. Step 6: Final answer
    x = 906,012.28

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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.