Home / 2,036-3,197

Finding the Third Proportional to 2,036 and 3,197

Calculator

Solution

The third proportional to 2,036 and 3,197 is: 5,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 3,197 = 3,197 : x
  2. Step 2: Convert to fraction form
    2,036/3,197 = 3,197/x
  3. Step 3: Cross multiply
    2,036x = 3,197 × 3,197
  4. Step 4: Simplify right side
    2,036x = 10,220,809
  5. Step 5: Solve for x
    x = 10,220,809/2,036
  6. Step 6: Final answer
    x = 5,020.04

Related Problems

Find third proportional to 1,018 and 1,598.50
Half scale
Find third proportional to 4,072 and 6,394
Double scale
Find third proportional to 2,038 and 3,200
Similar ratio
Find third proportional to 3,054 and 4,795.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.