Home / 599-720

Finding the Third Proportional to 599 and 720

Calculator

Solution

The third proportional to 599 and 720 is: 865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599 : 720 = 720 : x
  2. Step 2: Convert to fraction form
    599/720 = 720/x
  3. Step 3: Cross multiply
    599x = 720 × 720
  4. Step 4: Simplify right side
    599x = 518,400
  5. Step 5: Solve for x
    x = 518,400/599
  6. Step 6: Final answer
    x = 865.44

Related Problems

Find third proportional to 299.50 and 360
Half scale
Find third proportional to 1,198 and 1,440
Double scale
Find third proportional to 601 and 722
Similar ratio
Find third proportional to 898.50 and 1,080
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.