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Finding the Third Proportional to 196,827 and 305,609

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Solution

The third proportional to 196,827 and 305,609 is: 474,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,827 : 305,609 = 305,609 : x
  2. Step 2: Convert to fraction form
    196,827/305,609 = 305,609/x
  3. Step 3: Cross multiply
    196,827x = 305,609 × 305,609
  4. Step 4: Simplify right side
    196,827x = 93,396,860,881
  5. Step 5: Solve for x
    x = 93,396,860,881/196,827
  6. Step 6: Final answer
    x = 474,512.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.