Home / 8,112-11,976

Finding the Third Proportional to 8,112 and 11,976

Calculator

Solution

The third proportional to 8,112 and 11,976 is: 17,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 11,976 = 11,976 : x
  2. Step 2: Convert to fraction form
    8,112/11,976 = 11,976/x
  3. Step 3: Cross multiply
    8,112x = 11,976 × 11,976
  4. Step 4: Simplify right side
    8,112x = 143,424,576
  5. Step 5: Solve for x
    x = 143,424,576/8,112
  6. Step 6: Final answer
    x = 17,680.54

Related Problems

Find third proportional to 4,056 and 5,988
Half scale
Find third proportional to 16,224 and 23,952
Double scale
Find third proportional to 8,114 and 11,979
Similar ratio
Find third proportional to 12,168 and 17,964
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.