Home / 6,711-11,964

Finding the Third Proportional to 6,711 and 11,964

Calculator

Solution

The third proportional to 6,711 and 11,964 is: 21,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 11,964 = 11,964 : x
  2. Step 2: Convert to fraction form
    6,711/11,964 = 11,964/x
  3. Step 3: Cross multiply
    6,711x = 11,964 × 11,964
  4. Step 4: Simplify right side
    6,711x = 143,137,296
  5. Step 5: Solve for x
    x = 143,137,296/6,711
  6. Step 6: Final answer
    x = 21,328.76

Related Problems

Find third proportional to 3,355.50 and 5,982
Half scale
Find third proportional to 13,422 and 23,928
Double scale
Find third proportional to 6,713 and 11,968
Similar ratio
Find third proportional to 10,066.50 and 17,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.