Home / 11,984-19,956

Finding the Third Proportional to 11,984 and 19,956

Calculator

Solution

The third proportional to 11,984 and 19,956 is: 33,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984 : 19,956 = 19,956 : x
  2. Step 2: Convert to fraction form
    11,984/19,956 = 19,956/x
  3. Step 3: Cross multiply
    11,984x = 19,956 × 19,956
  4. Step 4: Simplify right side
    11,984x = 398,241,936
  5. Step 5: Solve for x
    x = 398,241,936/11,984
  6. Step 6: Final answer
    x = 33,231.14

Related Problems

Find third proportional to 5,992 and 9,978
Half scale
Find third proportional to 23,968 and 39,912
Double scale
Find third proportional to 11,986 and 19,959
Similar ratio
Find third proportional to 17,976 and 29,934
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.