Home / 5,760-6,960

Finding the Third Proportional to 5,760 and 6,960

Calculator

Solution

The third proportional to 5,760 and 6,960 is: 8,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 6,960 = 6,960 : x
  2. Step 2: Convert to fraction form
    5,760/6,960 = 6,960/x
  3. Step 3: Cross multiply
    5,760x = 6,960 × 6,960
  4. Step 4: Simplify right side
    5,760x = 48,441,600
  5. Step 5: Solve for x
    x = 48,441,600/5,760
  6. Step 6: Final answer
    x = 8,410

Related Problems

Find third proportional to 2,880 and 3,480
Half scale
Find third proportional to 11,520 and 13,920
Double scale
Find third proportional to 5,762 and 6,962
Similar ratio
Find third proportional to 8,640 and 10,440
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.