Home / 416-824

Finding the Third Proportional to 416 and 824

Calculator

Solution

The third proportional to 416 and 824 is: 1,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 824 = 824 : x
  2. Step 2: Convert to fraction form
    416/824 = 824/x
  3. Step 3: Cross multiply
    416x = 824 × 824
  4. Step 4: Simplify right side
    416x = 678,976
  5. Step 5: Solve for x
    x = 678,976/416
  6. Step 6: Final answer
    x = 1,632.15

Related Problems

Find third proportional to 208 and 412
Half scale
Find third proportional to 832 and 1,648
Double scale
Find third proportional to 418 and 828
Similar ratio
Find third proportional to 624 and 1,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.