Home / 270-321

Finding the Third Proportional to 270 and 321

Calculator

Solution

The third proportional to 270 and 321 is: 381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 321 = 321 : x
  2. Step 2: Convert to fraction form
    270/321 = 321/x
  3. Step 3: Cross multiply
    270x = 321 × 321
  4. Step 4: Simplify right side
    270x = 103,041
  5. Step 5: Solve for x
    x = 103,041/270
  6. Step 6: Final answer
    x = 381.63

Related Problems

Find third proportional to 135 and 160.50
Half scale
Find third proportional to 540 and 642
Double scale
Find third proportional to 272 and 323
Similar ratio
Find third proportional to 405 and 481.50
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.