Home / 5,200-11,986

Finding the Third Proportional to 5,200 and 11,986

Calculator

Solution

The third proportional to 5,200 and 11,986 is: 27,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200 : 11,986 = 11,986 : x
  2. Step 2: Convert to fraction form
    5,200/11,986 = 11,986/x
  3. Step 3: Cross multiply
    5,200x = 11,986 × 11,986
  4. Step 4: Simplify right side
    5,200x = 143,664,196
  5. Step 5: Solve for x
    x = 143,664,196/5,200
  6. Step 6: Final answer
    x = 27,627.73

Related Problems

Find third proportional to 2,600 and 5,993
Half scale
Find third proportional to 10,400 and 23,972
Double scale
Find third proportional to 5,202 and 11,991
Similar ratio
Find third proportional to 7,800 and 17,979
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.