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Finding the Third Proportional to 206,996 and 427,206

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Solution

The third proportional to 206,996 and 427,206 is: 881,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,996 : 427,206 = 427,206 : x
  2. Step 2: Convert to fraction form
    206,996/427,206 = 427,206/x
  3. Step 3: Cross multiply
    206,996x = 427,206 × 427,206
  4. Step 4: Simplify right side
    206,996x = 182,504,966,436
  5. Step 5: Solve for x
    x = 182,504,966,436/206,996
  6. Step 6: Final answer
    x = 881,683.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.