Home / 960-1,320

Finding the Third Proportional to 960 and 1,320

Calculator

Solution

The third proportional to 960 and 1,320 is: 1,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    960 : 1,320 = 1,320 : x
  2. Step 2: Convert to fraction form
    960/1,320 = 1,320/x
  3. Step 3: Cross multiply
    960x = 1,320 × 1,320
  4. Step 4: Simplify right side
    960x = 1,742,400
  5. Step 5: Solve for x
    x = 1,742,400/960
  6. Step 6: Final answer
    x = 1,815

Related Problems

Find third proportional to 480 and 660
Half scale
Find third proportional to 1,920 and 2,640
Double scale
Find third proportional to 962 and 1,323
Similar ratio
Find third proportional to 1,440 and 1,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.