Home / 324-384

Finding the Third Proportional to 324 and 384

Calculator

Solution

The third proportional to 324 and 384 is: 455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 384 = 384 : x
  2. Step 2: Convert to fraction form
    324/384 = 384/x
  3. Step 3: Cross multiply
    324x = 384 × 384
  4. Step 4: Simplify right side
    324x = 147,456
  5. Step 5: Solve for x
    x = 147,456/324
  6. Step 6: Final answer
    x = 455.11

Related Problems

Find third proportional to 162 and 192
Half scale
Find third proportional to 648 and 768
Double scale
Find third proportional to 326 and 386
Similar ratio
Find third proportional to 486 and 576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.