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Finding the Third Proportional to 1,050.75 and 2,299.78

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Solution

The third proportional to 1,050.75 and 2,299.78 is: 5,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.75 : 2,299.78 = 2,299.78 : x
  2. Step 2: Convert to fraction form
    1,050.75/2,299.78 = 2,299.78/x
  3. Step 3: Cross multiply
    1,050.75x = 2,299.78 × 2,299.78
  4. Step 4: Simplify right side
    1,050.75x = 5,288,993.80
  5. Step 5: Solve for x
    x = 5,288,993.80/1,050.75
  6. Step 6: Final answer
    x = 5,033.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.