Home / 6,880-7,856

Finding the Third Proportional to 6,880 and 7,856

Calculator

Solution

The third proportional to 6,880 and 7,856 is: 8,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 7,856 = 7,856 : x
  2. Step 2: Convert to fraction form
    6,880/7,856 = 7,856/x
  3. Step 3: Cross multiply
    6,880x = 7,856 × 7,856
  4. Step 4: Simplify right side
    6,880x = 61,716,736
  5. Step 5: Solve for x
    x = 61,716,736/6,880
  6. Step 6: Final answer
    x = 8,970.46

Related Problems

Find third proportional to 3,440 and 3,928
Half scale
Find third proportional to 13,760 and 15,712
Double scale
Find third proportional to 6,882 and 7,858
Similar ratio
Find third proportional to 10,320 and 11,784
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.