Home / 224-320

Finding the Third Proportional to 224 and 320

Calculator

Solution

The third proportional to 224 and 320 is: 457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 320 = 320 : x
  2. Step 2: Convert to fraction form
    224/320 = 320/x
  3. Step 3: Cross multiply
    224x = 320 × 320
  4. Step 4: Simplify right side
    224x = 102,400
  5. Step 5: Solve for x
    x = 102,400/224
  6. Step 6: Final answer
    x = 457.14

Related Problems

Find third proportional to 112 and 160
Half scale
Find third proportional to 448 and 640
Double scale
Find third proportional to 226 and 323
Similar ratio
Find third proportional to 336 and 480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.