Home / 2,082-3,306

Finding the Third Proportional to 2,082 and 3,306

Calculator

Solution

The third proportional to 2,082 and 3,306 is: 5,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 3,306 = 3,306 : x
  2. Step 2: Convert to fraction form
    2,082/3,306 = 3,306/x
  3. Step 3: Cross multiply
    2,082x = 3,306 × 3,306
  4. Step 4: Simplify right side
    2,082x = 10,929,636
  5. Step 5: Solve for x
    x = 10,929,636/2,082
  6. Step 6: Final answer
    x = 5,249.59

Related Problems

Find third proportional to 1,041 and 1,653
Half scale
Find third proportional to 4,164 and 6,612
Double scale
Find third proportional to 2,084 and 3,309
Similar ratio
Find third proportional to 3,123 and 4,959
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.