Home / 329-474

Finding the Third Proportional to 329 and 474

Calculator

Solution

The third proportional to 329 and 474 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 474 = 474 : x
  2. Step 2: Convert to fraction form
    329/474 = 474/x
  3. Step 3: Cross multiply
    329x = 474 × 474
  4. Step 4: Simplify right side
    329x = 224,676
  5. Step 5: Solve for x
    x = 224,676/329
  6. Step 6: Final answer
    x = 682.91

Related Problems

Find third proportional to 164.50 and 237
Half scale
Find third proportional to 658 and 948
Double scale
Find third proportional to 331 and 477
Similar ratio
Find third proportional to 493.50 and 711
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.