Home / 7,986-16,422

Finding the Third Proportional to 7,986 and 16,422

Calculator

Solution

The third proportional to 7,986 and 16,422 is: 33,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 16,422 = 16,422 : x
  2. Step 2: Convert to fraction form
    7,986/16,422 = 16,422/x
  3. Step 3: Cross multiply
    7,986x = 16,422 × 16,422
  4. Step 4: Simplify right side
    7,986x = 269,682,084
  5. Step 5: Solve for x
    x = 269,682,084/7,986
  6. Step 6: Final answer
    x = 33,769.36

Related Problems

Find third proportional to 3,993 and 8,211
Half scale
Find third proportional to 15,972 and 32,844
Double scale
Find third proportional to 7,988 and 16,426
Similar ratio
Find third proportional to 11,979 and 24,633
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.