Home / 270-360

Finding the Third Proportional to 270 and 360

Calculator

Solution

The third proportional to 270 and 360 is: 480

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 360 = 360 : x
  2. Step 2: Convert to fraction form
    270/360 = 360/x
  3. Step 3: Cross multiply
    270x = 360 × 360
  4. Step 4: Simplify right side
    270x = 129,600
  5. Step 5: Solve for x
    x = 129,600/270
  6. Step 6: Final answer
    x = 480

Related Problems

Find third proportional to 135 and 180
Half scale
Find third proportional to 540 and 720
Double scale
Find third proportional to 272 and 363
Similar ratio
Find third proportional to 405 and 540
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.