Home / 750-1,800

Finding the Third Proportional to 750 and 1,800

Calculator

Solution

The third proportional to 750 and 1,800 is: 4,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    750 : 1,800 = 1,800 : x
  2. Step 2: Convert to fraction form
    750/1,800 = 1,800/x
  3. Step 3: Cross multiply
    750x = 1,800 × 1,800
  4. Step 4: Simplify right side
    750x = 3,240,000
  5. Step 5: Solve for x
    x = 3,240,000/750
  6. Step 6: Final answer
    x = 4,320

Related Problems

Find third proportional to 375 and 900
Half scale
Find third proportional to 1,500 and 3,600
Double scale
Find third proportional to 752 and 1,805
Similar ratio
Find third proportional to 1,125 and 2,700
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.