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Finding the Third Proportional to 196,992 and 405,600

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Solution

The third proportional to 196,992 and 405,600 is: 835,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992 : 405,600 = 405,600 : x
  2. Step 2: Convert to fraction form
    196,992/405,600 = 405,600/x
  3. Step 3: Cross multiply
    196,992x = 405,600 × 405,600
  4. Step 4: Simplify right side
    196,992x = 164,511,360,000
  5. Step 5: Solve for x
    x = 164,511,360,000/196,992
  6. Step 6: Final answer
    x = 835,116.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.