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Finding the Third Proportional to 2,191 and 4,868

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Solution

The third proportional to 2,191 and 4,868 is: 10,815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 4,868 = 4,868 : x
  2. Step 2: Convert to fraction form
    2,191/4,868 = 4,868/x
  3. Step 3: Cross multiply
    2,191x = 4,868 × 4,868
  4. Step 4: Simplify right side
    2,191x = 23,697,424
  5. Step 5: Solve for x
    x = 23,697,424/2,191
  6. Step 6: Final answer
    x = 10,815.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.