Home / 167-333

Finding the Third Proportional to 167 and 333

Calculator

Solution

The third proportional to 167 and 333 is: 664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167 : 333 = 333 : x
  2. Step 2: Convert to fraction form
    167/333 = 333/x
  3. Step 3: Cross multiply
    167x = 333 × 333
  4. Step 4: Simplify right side
    167x = 110,889
  5. Step 5: Solve for x
    x = 110,889/167
  6. Step 6: Final answer
    x = 664.01

Related Problems

Find third proportional to 83.50 and 166.50
Half scale
Find third proportional to 334 and 666
Double scale
Find third proportional to 169 and 337
Similar ratio
Find third proportional to 250.50 and 499.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.