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Finding the Third Proportional to 83,923 and 128,075

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Solution

The third proportional to 83,923 and 128,075 is: 195,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,923 : 128,075 = 128,075 : x
  2. Step 2: Convert to fraction form
    83,923/128,075 = 128,075/x
  3. Step 3: Cross multiply
    83,923x = 128,075 × 128,075
  4. Step 4: Simplify right side
    83,923x = 16,403,205,625
  5. Step 5: Solve for x
    x = 16,403,205,625/83,923
  6. Step 6: Final answer
    x = 195,455.42

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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.