Home / 216-384

Finding the Third Proportional to 216 and 384

Calculator

Solution

The third proportional to 216 and 384 is: 682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 384 = 384 : x
  2. Step 2: Convert to fraction form
    216/384 = 384/x
  3. Step 3: Cross multiply
    216x = 384 × 384
  4. Step 4: Simplify right side
    216x = 147,456
  5. Step 5: Solve for x
    x = 147,456/216
  6. Step 6: Final answer
    x = 682.67

Related Problems

Find third proportional to 108 and 192
Half scale
Find third proportional to 432 and 768
Double scale
Find third proportional to 218 and 388
Similar ratio
Find third proportional to 324 and 576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.