Home / 238-416

Finding the Third Proportional to 238 and 416

Calculator

Solution

The third proportional to 238 and 416 is: 727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 416 = 416 : x
  2. Step 2: Convert to fraction form
    238/416 = 416/x
  3. Step 3: Cross multiply
    238x = 416 × 416
  4. Step 4: Simplify right side
    238x = 173,056
  5. Step 5: Solve for x
    x = 173,056/238
  6. Step 6: Final answer
    x = 727.13

Related Problems

Find third proportional to 119 and 208
Half scale
Find third proportional to 476 and 832
Double scale
Find third proportional to 240 and 419
Similar ratio
Find third proportional to 357 and 624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.