Home / 405-960

Finding the Third Proportional to 405 and 960

Calculator

Solution

The third proportional to 405 and 960 is: 2,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405 : 960 = 960 : x
  2. Step 2: Convert to fraction form
    405/960 = 960/x
  3. Step 3: Cross multiply
    405x = 960 × 960
  4. Step 4: Simplify right side
    405x = 921,600
  5. Step 5: Solve for x
    x = 921,600/405
  6. Step 6: Final answer
    x = 2,275.56

Related Problems

Find third proportional to 202.50 and 480
Half scale
Find third proportional to 810 and 1,920
Double scale
Find third proportional to 407 and 965
Similar ratio
Find third proportional to 607.50 and 1,440
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.