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Finding the Third Proportional to 3,678 and 7,851

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Solution

The third proportional to 3,678 and 7,851 is: 16,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 7,851 = 7,851 : x
  2. Step 2: Convert to fraction form
    3,678/7,851 = 7,851/x
  3. Step 3: Cross multiply
    3,678x = 7,851 × 7,851
  4. Step 4: Simplify right side
    3,678x = 61,638,201
  5. Step 5: Solve for x
    x = 61,638,201/3,678
  6. Step 6: Final answer
    x = 16,758.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.