Home / 75-195

Finding the Third Proportional to 75 and 195

Calculator

Solution

The third proportional to 75 and 195 is: 507

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 195 = 195 : x
  2. Step 2: Convert to fraction form
    75/195 = 195/x
  3. Step 3: Cross multiply
    75x = 195 × 195
  4. Step 4: Simplify right side
    75x = 38,025
  5. Step 5: Solve for x
    x = 38,025/75
  6. Step 6: Final answer
    x = 507

Related Problems

Find third proportional to 37.50 and 97.50
Half scale
Find third proportional to 150 and 390
Double scale
Find third proportional to 77 and 200
Similar ratio
Find third proportional to 112.50 and 292.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.