Home / 414-824

Finding the Third Proportional to 414 and 824

Calculator

Solution

The third proportional to 414 and 824 is: 1,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 824 = 824 : x
  2. Step 2: Convert to fraction form
    414/824 = 824/x
  3. Step 3: Cross multiply
    414x = 824 × 824
  4. Step 4: Simplify right side
    414x = 678,976
  5. Step 5: Solve for x
    x = 678,976/414
  6. Step 6: Final answer
    x = 1,640.04

Related Problems

Find third proportional to 207 and 412
Half scale
Find third proportional to 828 and 1,648
Double scale
Find third proportional to 416 and 828
Similar ratio
Find third proportional to 621 and 1,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.