Home / 214-320

Finding the Third Proportional to 214 and 320

Calculator

Solution

The third proportional to 214 and 320 is: 478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 320 = 320 : x
  2. Step 2: Convert to fraction form
    214/320 = 320/x
  3. Step 3: Cross multiply
    214x = 320 × 320
  4. Step 4: Simplify right side
    214x = 102,400
  5. Step 5: Solve for x
    x = 102,400/214
  6. Step 6: Final answer
    x = 478.50

Related Problems

Find third proportional to 107 and 160
Half scale
Find third proportional to 428 and 640
Double scale
Find third proportional to 216 and 323
Similar ratio
Find third proportional to 321 and 480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.