Home / 150,099-211,108

Finding the Third Proportional to 150,099 and 211,108

Calculator

Solution

The third proportional to 150,099 and 211,108 is: 296,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,099 : 211,108 = 211,108 : x
  2. Step 2: Convert to fraction form
    150,099/211,108 = 211,108/x
  3. Step 3: Cross multiply
    150,099x = 211,108 × 211,108
  4. Step 4: Simplify right side
    150,099x = 44,566,587,664
  5. Step 5: Solve for x
    x = 44,566,587,664/150,099
  6. Step 6: Final answer
    x = 296,914.62

Related Problems

Find third proportional to 75,049.50 and 105,554
Half scale
Find third proportional to 300,198 and 422,216
Double scale
Find third proportional to 150,101 and 211,111
Similar ratio
Find third proportional to 225,148.50 and 316,662
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.