Home / 6,896-7,664

Finding the Third Proportional to 6,896 and 7,664

Calculator

Solution

The third proportional to 6,896 and 7,664 is: 8,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 7,664 = 7,664 : x
  2. Step 2: Convert to fraction form
    6,896/7,664 = 7,664/x
  3. Step 3: Cross multiply
    6,896x = 7,664 × 7,664
  4. Step 4: Simplify right side
    6,896x = 58,736,896
  5. Step 5: Solve for x
    x = 58,736,896/6,896
  6. Step 6: Final answer
    x = 8,517.53

Related Problems

Find third proportional to 3,448 and 3,832
Half scale
Find third proportional to 13,792 and 15,328
Double scale
Find third proportional to 6,898 and 7,666
Similar ratio
Find third proportional to 10,344 and 11,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.