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Finding the Third Proportional to 206,398.50 and 421,545

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Solution

The third proportional to 206,398.50 and 421,545 is: 860,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,398.50 : 421,545 = 421,545 : x
  2. Step 2: Convert to fraction form
    206,398.50/421,545 = 421,545/x
  3. Step 3: Cross multiply
    206,398.50x = 421,545 × 421,545
  4. Step 4: Simplify right side
    206,398.50x = 177,700,187,025
  5. Step 5: Solve for x
    x = 177,700,187,025/206,398.50
  6. Step 6: Final answer
    x = 860,956.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.