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Finding the Third Proportional to 2,191.75 and 3,310.75

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Solution

The third proportional to 2,191.75 and 3,310.75 is: 5,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.75 : 3,310.75 = 3,310.75 : x
  2. Step 2: Convert to fraction form
    2,191.75/3,310.75 = 3,310.75/x
  3. Step 3: Cross multiply
    2,191.75x = 3,310.75 × 3,310.75
  4. Step 4: Simplify right side
    2,191.75x = 10,961,065.56
  5. Step 5: Solve for x
    x = 10,961,065.56/2,191.75
  6. Step 6: Final answer
    x = 5,001.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.