Home / 3,180-5,991

Finding the Third Proportional to 3,180 and 5,991

Calculator

Solution

The third proportional to 3,180 and 5,991 is: 11,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180 : 5,991 = 5,991 : x
  2. Step 2: Convert to fraction form
    3,180/5,991 = 5,991/x
  3. Step 3: Cross multiply
    3,180x = 5,991 × 5,991
  4. Step 4: Simplify right side
    3,180x = 35,892,081
  5. Step 5: Solve for x
    x = 35,892,081/3,180
  6. Step 6: Final answer
    x = 11,286.82

Related Problems

Find third proportional to 1,590 and 2,995.50
Half scale
Find third proportional to 6,360 and 11,982
Double scale
Find third proportional to 3,182 and 5,995
Similar ratio
Find third proportional to 4,770 and 8,986.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.