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Finding the Third Proportional to 2,106 and 3,277

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Solution

The third proportional to 2,106 and 3,277 is: 5,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 3,277 = 3,277 : x
  2. Step 2: Convert to fraction form
    2,106/3,277 = 3,277/x
  3. Step 3: Cross multiply
    2,106x = 3,277 × 3,277
  4. Step 4: Simplify right side
    2,106x = 10,738,729
  5. Step 5: Solve for x
    x = 10,738,729/2,106
  6. Step 6: Final answer
    x = 5,099.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.