Home / 1,027-2,096

Finding the Third Proportional to 1,027 and 2,096

Calculator

Solution

The third proportional to 1,027 and 2,096 is: 4,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027 : 2,096 = 2,096 : x
  2. Step 2: Convert to fraction form
    1,027/2,096 = 2,096/x
  3. Step 3: Cross multiply
    1,027x = 2,096 × 2,096
  4. Step 4: Simplify right side
    1,027x = 4,393,216
  5. Step 5: Solve for x
    x = 4,393,216/1,027
  6. Step 6: Final answer
    x = 4,277.72

Related Problems

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.