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Finding the Third Proportional to 206,990 and 453,722

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Solution

The third proportional to 206,990 and 453,722 is: 994,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,990 : 453,722 = 453,722 : x
  2. Step 2: Convert to fraction form
    206,990/453,722 = 453,722/x
  3. Step 3: Cross multiply
    206,990x = 453,722 × 453,722
  4. Step 4: Simplify right side
    206,990x = 205,863,653,284
  5. Step 5: Solve for x
    x = 205,863,653,284/206,990
  6. Step 6: Final answer
    x = 994,558.45

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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.