Home / 2,052-2,241

Finding the Third Proportional to 2,052 and 2,241

Calculator

Solution

The third proportional to 2,052 and 2,241 is: 2,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 2,241 = 2,241 : x
  2. Step 2: Convert to fraction form
    2,052/2,241 = 2,241/x
  3. Step 3: Cross multiply
    2,052x = 2,241 × 2,241
  4. Step 4: Simplify right side
    2,052x = 5,022,081
  5. Step 5: Solve for x
    x = 5,022,081/2,052
  6. Step 6: Final answer
    x = 2,447.41

Related Problems

Find third proportional to 1,026 and 1,120.50
Half scale
Find third proportional to 4,104 and 4,482
Double scale
Find third proportional to 2,054 and 2,243
Similar ratio
Find third proportional to 3,078 and 3,361.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.