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Finding the Third Proportional to 2,812 and 4,050.25

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Solution

The third proportional to 2,812 and 4,050.25 is: 5,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 4,050.25 = 4,050.25 : x
  2. Step 2: Convert to fraction form
    2,812/4,050.25 = 4,050.25/x
  3. Step 3: Cross multiply
    2,812x = 4,050.25 × 4,050.25
  4. Step 4: Simplify right side
    2,812x = 16,404,525.06
  5. Step 5: Solve for x
    x = 16,404,525.06/2,812
  6. Step 6: Final answer
    x = 5,833.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.