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Finding the Third Proportional to 206,970 and 447,162

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Solution

The third proportional to 206,970 and 447,162 is: 966,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970 : 447,162 = 447,162 : x
  2. Step 2: Convert to fraction form
    206,970/447,162 = 447,162/x
  3. Step 3: Cross multiply
    206,970x = 447,162 × 447,162
  4. Step 4: Simplify right side
    206,970x = 199,953,854,244
  5. Step 5: Solve for x
    x = 199,953,854,244/206,970
  6. Step 6: Final answer
    x = 966,100.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.