Home / 7,824-11,004

Finding the Third Proportional to 7,824 and 11,004

Calculator

Solution

The third proportional to 7,824 and 11,004 is: 15,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 11,004 = 11,004 : x
  2. Step 2: Convert to fraction form
    7,824/11,004 = 11,004/x
  3. Step 3: Cross multiply
    7,824x = 11,004 × 11,004
  4. Step 4: Simplify right side
    7,824x = 121,088,016
  5. Step 5: Solve for x
    x = 121,088,016/7,824
  6. Step 6: Final answer
    x = 15,476.48

Related Problems

Find third proportional to 3,912 and 5,502
Half scale
Find third proportional to 15,648 and 22,008
Double scale
Find third proportional to 7,826 and 11,007
Similar ratio
Find third proportional to 11,736 and 16,506
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.