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Finding the Third Proportional to 83,898 and 128,766

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Solution

The third proportional to 83,898 and 128,766 is: 197,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898 : 128,766 = 128,766 : x
  2. Step 2: Convert to fraction form
    83,898/128,766 = 128,766/x
  3. Step 3: Cross multiply
    83,898x = 128,766 × 128,766
  4. Step 4: Simplify right side
    83,898x = 16,580,682,756
  5. Step 5: Solve for x
    x = 16,580,682,756/83,898
  6. Step 6: Final answer
    x = 197,629.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.