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Finding the Third Proportional to 1,876 and 3,383

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Solution

The third proportional to 1,876 and 3,383 is: 6,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876 : 3,383 = 3,383 : x
  2. Step 2: Convert to fraction form
    1,876/3,383 = 3,383/x
  3. Step 3: Cross multiply
    1,876x = 3,383 × 3,383
  4. Step 4: Simplify right side
    1,876x = 11,444,689
  5. Step 5: Solve for x
    x = 11,444,689/1,876
  6. Step 6: Final answer
    x = 6,100.58

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.