Home / 166.50-223

Finding the Third Proportional to 166.50 and 223

Calculator

Solution

The third proportional to 166.50 and 223 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 223 = 223 : x
  2. Step 2: Convert to fraction form
    166.50/223 = 223/x
  3. Step 3: Cross multiply
    166.50x = 223 × 223
  4. Step 4: Simplify right side
    166.50x = 49,729
  5. Step 5: Solve for x
    x = 49,729/166.50
  6. Step 6: Final answer
    x = 298.67

Related Problems

Find third proportional to 83.25 and 111.50
Half scale
Find third proportional to 333 and 446
Double scale
Find third proportional to 169 and 226
Similar ratio
Find third proportional to 249.75 and 334.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.