Home / 372-406

Finding the Third Proportional to 372 and 406

Calculator

Solution

The third proportional to 372 and 406 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    372 : 406 = 406 : x
  2. Step 2: Convert to fraction form
    372/406 = 406/x
  3. Step 3: Cross multiply
    372x = 406 × 406
  4. Step 4: Simplify right side
    372x = 164,836
  5. Step 5: Solve for x
    x = 164,836/372
  6. Step 6: Final answer
    x = 443.11

Related Problems

Find third proportional to 186 and 203
Half scale
Find third proportional to 744 and 812
Double scale
Find third proportional to 374 and 408
Similar ratio
Find third proportional to 558 and 609
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.