Home / 2,112-3,972

Finding the Third Proportional to 2,112 and 3,972

Calculator

Solution

The third proportional to 2,112 and 3,972 is: 7,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112 : 3,972 = 3,972 : x
  2. Step 2: Convert to fraction form
    2,112/3,972 = 3,972/x
  3. Step 3: Cross multiply
    2,112x = 3,972 × 3,972
  4. Step 4: Simplify right side
    2,112x = 15,776,784
  5. Step 5: Solve for x
    x = 15,776,784/2,112
  6. Step 6: Final answer
    x = 7,470.07

Related Problems

Find third proportional to 1,056 and 1,986
Half scale
Find third proportional to 4,224 and 7,944
Double scale
Find third proportional to 2,114 and 3,976
Similar ratio
Find third proportional to 3,168 and 5,958
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.