Home / 360-520

Finding the Third Proportional to 360 and 520

Calculator

Solution

The third proportional to 360 and 520 is: 751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360 : 520 = 520 : x
  2. Step 2: Convert to fraction form
    360/520 = 520/x
  3. Step 3: Cross multiply
    360x = 520 × 520
  4. Step 4: Simplify right side
    360x = 270,400
  5. Step 5: Solve for x
    x = 270,400/360
  6. Step 6: Final answer
    x = 751.11

Related Problems

Find third proportional to 180 and 260
Half scale
Find third proportional to 720 and 1,040
Double scale
Find third proportional to 362 and 523
Similar ratio
Find third proportional to 540 and 780
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.