Home / 353-416

Finding the Third Proportional to 353 and 416

Calculator

Solution

The third proportional to 353 and 416 is: 490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353 : 416 = 416 : x
  2. Step 2: Convert to fraction form
    353/416 = 416/x
  3. Step 3: Cross multiply
    353x = 416 × 416
  4. Step 4: Simplify right side
    353x = 173,056
  5. Step 5: Solve for x
    x = 173,056/353
  6. Step 6: Final answer
    x = 490.24

Related Problems

Find third proportional to 176.50 and 208
Half scale
Find third proportional to 706 and 832
Double scale
Find third proportional to 355 and 418
Similar ratio
Find third proportional to 529.50 and 624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.