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Finding the Third Proportional to 2,776 and 3,868

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Solution

The third proportional to 2,776 and 3,868 is: 5,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 3,868 = 3,868 : x
  2. Step 2: Convert to fraction form
    2,776/3,868 = 3,868/x
  3. Step 3: Cross multiply
    2,776x = 3,868 × 3,868
  4. Step 4: Simplify right side
    2,776x = 14,961,424
  5. Step 5: Solve for x
    x = 14,961,424/2,776
  6. Step 6: Final answer
    x = 5,389.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.