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Finding the Third Proportional to 51,508 and 68,918

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Solution

The third proportional to 51,508 and 68,918 is: 92,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508 : 68,918 = 68,918 : x
  2. Step 2: Convert to fraction form
    51,508/68,918 = 68,918/x
  3. Step 3: Cross multiply
    51,508x = 68,918 × 68,918
  4. Step 4: Simplify right side
    51,508x = 4,749,690,724
  5. Step 5: Solve for x
    x = 4,749,690,724/51,508
  6. Step 6: Final answer
    x = 92,212.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.