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Finding the Third Proportional to 1,876 and 3,202

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Solution

The third proportional to 1,876 and 3,202 is: 5,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876 : 3,202 = 3,202 : x
  2. Step 2: Convert to fraction form
    1,876/3,202 = 3,202/x
  3. Step 3: Cross multiply
    1,876x = 3,202 × 3,202
  4. Step 4: Simplify right side
    1,876x = 10,252,804
  5. Step 5: Solve for x
    x = 10,252,804/1,876
  6. Step 6: Final answer
    x = 5,465.25

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.