Home / 2,034-3,913

Finding the Third Proportional to 2,034 and 3,913

Calculator

Solution

The third proportional to 2,034 and 3,913 is: 7,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,913 = 3,913 : x
  2. Step 2: Convert to fraction form
    2,034/3,913 = 3,913/x
  3. Step 3: Cross multiply
    2,034x = 3,913 × 3,913
  4. Step 4: Simplify right side
    2,034x = 15,311,569
  5. Step 5: Solve for x
    x = 15,311,569/2,034
  6. Step 6: Final answer
    x = 7,527.81

Related Problems

Find third proportional to 1,017 and 1,956.50
Half scale
Find third proportional to 4,068 and 7,826
Double scale
Find third proportional to 2,036 and 3,917
Similar ratio
Find third proportional to 3,051 and 5,869.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.