Home / 144-195.75

Finding the Third Proportional to 144 and 195.75

Calculator

Solution

The third proportional to 144 and 195.75 is: 266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 195.75 = 195.75 : x
  2. Step 2: Convert to fraction form
    144/195.75 = 195.75/x
  3. Step 3: Cross multiply
    144x = 195.75 × 195.75
  4. Step 4: Simplify right side
    144x = 38,318.06
  5. Step 5: Solve for x
    x = 38,318.06/144
  6. Step 6: Final answer
    x = 266.10

Related Problems

Find third proportional to 72 and 97.88
Half scale
Find third proportional to 288 and 391.50
Double scale
Find third proportional to 146 and 198
Similar ratio
Find third proportional to 216 and 293.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.