Home / 900-1,320

Finding the Third Proportional to 900 and 1,320

Calculator

Solution

The third proportional to 900 and 1,320 is: 1,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    900 : 1,320 = 1,320 : x
  2. Step 2: Convert to fraction form
    900/1,320 = 1,320/x
  3. Step 3: Cross multiply
    900x = 1,320 × 1,320
  4. Step 4: Simplify right side
    900x = 1,742,400
  5. Step 5: Solve for x
    x = 1,742,400/900
  6. Step 6: Final answer
    x = 1,936

Related Problems

Find third proportional to 450 and 660
Half scale
Find third proportional to 1,800 and 2,640
Double scale
Find third proportional to 902 and 1,323
Similar ratio
Find third proportional to 1,350 and 1,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.