Home / 96-204

Finding the Third Proportional to 96 and 204

Calculator

Solution

The third proportional to 96 and 204 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 204 = 204 : x
  2. Step 2: Convert to fraction form
    96/204 = 204/x
  3. Step 3: Cross multiply
    96x = 204 × 204
  4. Step 4: Simplify right side
    96x = 41,616
  5. Step 5: Solve for x
    x = 41,616/96
  6. Step 6: Final answer
    x = 433.50

Related Problems

Find third proportional to 48 and 102
Half scale
Find third proportional to 192 and 408
Double scale
Find third proportional to 98 and 208
Similar ratio
Find third proportional to 144 and 306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.