Home / 140-180

Finding the Third Proportional to 140 and 180

Calculator

Solution

The third proportional to 140 and 180 is: 231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 180 = 180 : x
  2. Step 2: Convert to fraction form
    140/180 = 180/x
  3. Step 3: Cross multiply
    140x = 180 × 180
  4. Step 4: Simplify right side
    140x = 32,400
  5. Step 5: Solve for x
    x = 32,400/140
  6. Step 6: Final answer
    x = 231.43

Related Problems

Find third proportional to 70 and 90
Half scale
Find third proportional to 280 and 360
Double scale
Find third proportional to 142 and 183
Similar ratio
Find third proportional to 210 and 270
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.