Home / 13,986-21,519

Finding the Third Proportional to 13,986 and 21,519

Calculator

Solution

The third proportional to 13,986 and 21,519 is: 33,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 21,519 = 21,519 : x
  2. Step 2: Convert to fraction form
    13,986/21,519 = 21,519/x
  3. Step 3: Cross multiply
    13,986x = 21,519 × 21,519
  4. Step 4: Simplify right side
    13,986x = 463,067,361
  5. Step 5: Solve for x
    x = 463,067,361/13,986
  6. Step 6: Final answer
    x = 33,109.35

Related Problems

Find third proportional to 6,993 and 10,759.50
Half scale
Find third proportional to 27,972 and 43,038
Double scale
Find third proportional to 13,988 and 21,522
Similar ratio
Find third proportional to 20,979 and 32,278.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.