Home / 2,980-6,811

Finding the Third Proportional to 2,980 and 6,811

Calculator

Solution

The third proportional to 2,980 and 6,811 is: 15,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980 : 6,811 = 6,811 : x
  2. Step 2: Convert to fraction form
    2,980/6,811 = 6,811/x
  3. Step 3: Cross multiply
    2,980x = 6,811 × 6,811
  4. Step 4: Simplify right side
    2,980x = 46,389,721
  5. Step 5: Solve for x
    x = 46,389,721/2,980
  6. Step 6: Final answer
    x = 15,567.02

Related Problems

Find third proportional to 1,490 and 3,405.50
Half scale
Find third proportional to 5,960 and 13,622
Double scale
Find third proportional to 2,982 and 6,816
Similar ratio
Find third proportional to 4,470 and 10,216.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.