Home / 221-320

Finding the Third Proportional to 221 and 320

Calculator

Solution

The third proportional to 221 and 320 is: 463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221 : 320 = 320 : x
  2. Step 2: Convert to fraction form
    221/320 = 320/x
  3. Step 3: Cross multiply
    221x = 320 × 320
  4. Step 4: Simplify right side
    221x = 102,400
  5. Step 5: Solve for x
    x = 102,400/221
  6. Step 6: Final answer
    x = 463.35

Related Problems

Find third proportional to 110.50 and 160
Half scale
Find third proportional to 442 and 640
Double scale
Find third proportional to 223 and 323
Similar ratio
Find third proportional to 331.50 and 480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.