Home / 2,050-3,011

Finding the Third Proportional to 2,050 and 3,011

Calculator

Solution

The third proportional to 2,050 and 3,011 is: 4,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 3,011 = 3,011 : x
  2. Step 2: Convert to fraction form
    2,050/3,011 = 3,011/x
  3. Step 3: Cross multiply
    2,050x = 3,011 × 3,011
  4. Step 4: Simplify right side
    2,050x = 9,066,121
  5. Step 5: Solve for x
    x = 9,066,121/2,050
  6. Step 6: Final answer
    x = 4,422.50

Related Problems

Find third proportional to 1,025 and 1,505.50
Half scale
Find third proportional to 4,100 and 6,022
Double scale
Find third proportional to 2,052 and 3,014
Similar ratio
Find third proportional to 3,075 and 4,516.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.