Home / 576-720

Finding the Third Proportional to 576 and 720

Calculator

Solution

The third proportional to 576 and 720 is: 900

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 720 = 720 : x
  2. Step 2: Convert to fraction form
    576/720 = 720/x
  3. Step 3: Cross multiply
    576x = 720 × 720
  4. Step 4: Simplify right side
    576x = 518,400
  5. Step 5: Solve for x
    x = 518,400/576
  6. Step 6: Final answer
    x = 900

Related Problems

Find third proportional to 288 and 360
Half scale
Find third proportional to 1,152 and 1,440
Double scale
Find third proportional to 578 and 723
Similar ratio
Find third proportional to 864 and 1,080
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.