Home / 149-182

Finding the Third Proportional to 149 and 182

Calculator

Solution

The third proportional to 149 and 182 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 182 = 182 : x
  2. Step 2: Convert to fraction form
    149/182 = 182/x
  3. Step 3: Cross multiply
    149x = 182 × 182
  4. Step 4: Simplify right side
    149x = 33,124
  5. Step 5: Solve for x
    x = 33,124/149
  6. Step 6: Final answer
    x = 222.31

Related Problems

Find third proportional to 74.50 and 91
Half scale
Find third proportional to 298 and 364
Double scale
Find third proportional to 151 and 184
Similar ratio
Find third proportional to 223.50 and 273
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.