Home / 406-454

Finding the Third Proportional to 406 and 454

Calculator

Solution

The third proportional to 406 and 454 is: 507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 454 = 454 : x
  2. Step 2: Convert to fraction form
    406/454 = 454/x
  3. Step 3: Cross multiply
    406x = 454 × 454
  4. Step 4: Simplify right side
    406x = 206,116
  5. Step 5: Solve for x
    x = 206,116/406
  6. Step 6: Final answer
    x = 507.67

Related Problems

Find third proportional to 203 and 227
Half scale
Find third proportional to 812 and 908
Double scale
Find third proportional to 408 and 456
Similar ratio
Find third proportional to 609 and 681
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.