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Finding the Third Proportional to 129,958 and 206,766

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Solution

The third proportional to 129,958 and 206,766 is: 328,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,958 : 206,766 = 206,766 : x
  2. Step 2: Convert to fraction form
    129,958/206,766 = 206,766/x
  3. Step 3: Cross multiply
    129,958x = 206,766 × 206,766
  4. Step 4: Simplify right side
    129,958x = 42,752,178,756
  5. Step 5: Solve for x
    x = 42,752,178,756/129,958
  6. Step 6: Final answer
    x = 328,969.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.