Home / 6,804-11,664

Finding the Third Proportional to 6,804 and 11,664

Calculator

Solution

The third proportional to 6,804 and 11,664 is: 19,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 11,664 = 11,664 : x
  2. Step 2: Convert to fraction form
    6,804/11,664 = 11,664/x
  3. Step 3: Cross multiply
    6,804x = 11,664 × 11,664
  4. Step 4: Simplify right side
    6,804x = 136,048,896
  5. Step 5: Solve for x
    x = 136,048,896/6,804
  6. Step 6: Final answer
    x = 19,995.43

Related Problems

Find third proportional to 3,402 and 5,832
Half scale
Find third proportional to 13,608 and 23,328
Double scale
Find third proportional to 6,806 and 11,667
Similar ratio
Find third proportional to 10,206 and 17,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.