Home / 2,074-3,161

Finding the Third Proportional to 2,074 and 3,161

Calculator

Solution

The third proportional to 2,074 and 3,161 is: 4,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 3,161 = 3,161 : x
  2. Step 2: Convert to fraction form
    2,074/3,161 = 3,161/x
  3. Step 3: Cross multiply
    2,074x = 3,161 × 3,161
  4. Step 4: Simplify right side
    2,074x = 9,991,921
  5. Step 5: Solve for x
    x = 9,991,921/2,074
  6. Step 6: Final answer
    x = 4,817.71

Related Problems

Find third proportional to 1,037 and 1,580.50
Half scale
Find third proportional to 4,148 and 6,322
Double scale
Find third proportional to 2,076 and 3,164
Similar ratio
Find third proportional to 3,111 and 4,741.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.