Home / 180-411

Finding the Third Proportional to 180 and 411

Calculator

Solution

The third proportional to 180 and 411 is: 938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 411 = 411 : x
  2. Step 2: Convert to fraction form
    180/411 = 411/x
  3. Step 3: Cross multiply
    180x = 411 × 411
  4. Step 4: Simplify right side
    180x = 168,921
  5. Step 5: Solve for x
    x = 168,921/180
  6. Step 6: Final answer
    x = 938.45

Related Problems

Find third proportional to 90 and 205.50
Half scale
Find third proportional to 360 and 822
Double scale
Find third proportional to 182 and 416
Similar ratio
Find third proportional to 270 and 616.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.