Home / 120-213.50

Finding the Third Proportional to 120 and 213.50

Calculator

Solution

The third proportional to 120 and 213.50 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 213.50 = 213.50 : x
  2. Step 2: Convert to fraction form
    120/213.50 = 213.50/x
  3. Step 3: Cross multiply
    120x = 213.50 × 213.50
  4. Step 4: Simplify right side
    120x = 45,582.25
  5. Step 5: Solve for x
    x = 45,582.25/120
  6. Step 6: Final answer
    x = 379.85

Related Problems

Find third proportional to 60 and 106.75
Half scale
Find third proportional to 240 and 427
Double scale
Find third proportional to 122 and 217
Similar ratio
Find third proportional to 180 and 320.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.