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Finding the Third Proportional to 51,919 and 68,173

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Solution

The third proportional to 51,919 and 68,173 is: 89,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919 : 68,173 = 68,173 : x
  2. Step 2: Convert to fraction form
    51,919/68,173 = 68,173/x
  3. Step 3: Cross multiply
    51,919x = 68,173 × 68,173
  4. Step 4: Simplify right side
    51,919x = 4,647,557,929
  5. Step 5: Solve for x
    x = 4,647,557,929/51,919
  6. Step 6: Final answer
    x = 89,515.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.