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Finding the Third Proportional to 2,666 and 3,899

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Solution

The third proportional to 2,666 and 3,899 is: 5,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666 : 3,899 = 3,899 : x
  2. Step 2: Convert to fraction form
    2,666/3,899 = 3,899/x
  3. Step 3: Cross multiply
    2,666x = 3,899 × 3,899
  4. Step 4: Simplify right side
    2,666x = 15,202,201
  5. Step 5: Solve for x
    x = 15,202,201/2,666
  6. Step 6: Final answer
    x = 5,702.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.