Home / 972-2,016

Finding the Third Proportional to 972 and 2,016

Calculator

Solution

The third proportional to 972 and 2,016 is: 4,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 2,016 = 2,016 : x
  2. Step 2: Convert to fraction form
    972/2,016 = 2,016/x
  3. Step 3: Cross multiply
    972x = 2,016 × 2,016
  4. Step 4: Simplify right side
    972x = 4,064,256
  5. Step 5: Solve for x
    x = 4,064,256/972
  6. Step 6: Final answer
    x = 4,181.33

Related Problems

Find third proportional to 486 and 1,008
Half scale
Find third proportional to 1,944 and 4,032
Double scale
Find third proportional to 974 and 2,020
Similar ratio
Find third proportional to 1,458 and 3,024
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.