Home / 227-322

Finding the Third Proportional to 227 and 322

Calculator

Solution

The third proportional to 227 and 322 is: 456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 322 = 322 : x
  2. Step 2: Convert to fraction form
    227/322 = 322/x
  3. Step 3: Cross multiply
    227x = 322 × 322
  4. Step 4: Simplify right side
    227x = 103,684
  5. Step 5: Solve for x
    x = 103,684/227
  6. Step 6: Final answer
    x = 456.76

Related Problems

Find third proportional to 113.50 and 161
Half scale
Find third proportional to 454 and 644
Double scale
Find third proportional to 229 and 325
Similar ratio
Find third proportional to 340.50 and 483
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.