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Finding the Third Proportional to 206,520 and 451,920

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Solution

The third proportional to 206,520 and 451,920 is: 988,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,520 : 451,920 = 451,920 : x
  2. Step 2: Convert to fraction form
    206,520/451,920 = 451,920/x
  3. Step 3: Cross multiply
    206,520x = 451,920 × 451,920
  4. Step 4: Simplify right side
    206,520x = 204,231,686,400
  5. Step 5: Solve for x
    x = 204,231,686,400/206,520
  6. Step 6: Final answer
    x = 988,919.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.