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Finding the Third Proportional to 102,682 and 206,889

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Solution

The third proportional to 102,682 and 206,889 is: 416,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682 : 206,889 = 206,889 : x
  2. Step 2: Convert to fraction form
    102,682/206,889 = 206,889/x
  3. Step 3: Cross multiply
    102,682x = 206,889 × 206,889
  4. Step 4: Simplify right side
    102,682x = 42,803,058,321
  5. Step 5: Solve for x
    x = 42,803,058,321/102,682
  6. Step 6: Final answer
    x = 416,850.65

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.