Home / 102-204

Finding the Third Proportional to 102 and 204

Calculator

Solution

The third proportional to 102 and 204 is: 408

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 204 = 204 : x
  2. Step 2: Convert to fraction form
    102/204 = 204/x
  3. Step 3: Cross multiply
    102x = 204 × 204
  4. Step 4: Simplify right side
    102x = 41,616
  5. Step 5: Solve for x
    x = 41,616/102
  6. Step 6: Final answer
    x = 408

Related Problems

Find third proportional to 51 and 102
Half scale
Find third proportional to 204 and 408
Double scale
Find third proportional to 104 and 208
Similar ratio
Find third proportional to 153 and 306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.