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Finding the Third Proportional to 51,975 and 68,249

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Solution

The third proportional to 51,975 and 68,249 is: 89,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975 : 68,249 = 68,249 : x
  2. Step 2: Convert to fraction form
    51,975/68,249 = 68,249/x
  3. Step 3: Cross multiply
    51,975x = 68,249 × 68,249
  4. Step 4: Simplify right side
    51,975x = 4,657,926,001
  5. Step 5: Solve for x
    x = 4,657,926,001/51,975
  6. Step 6: Final answer
    x = 89,618.59

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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.