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Finding the Third Proportional to 206,988 and 447,192

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Solution

The third proportional to 206,988 and 447,192 is: 966,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,988 : 447,192 = 447,192 : x
  2. Step 2: Convert to fraction form
    206,988/447,192 = 447,192/x
  3. Step 3: Cross multiply
    206,988x = 447,192 × 447,192
  4. Step 4: Simplify right side
    206,988x = 199,980,684,864
  5. Step 5: Solve for x
    x = 199,980,684,864/206,988
  6. Step 6: Final answer
    x = 966,146.27

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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.