Home / 424-824

Finding the Third Proportional to 424 and 824

Calculator

Solution

The third proportional to 424 and 824 is: 1,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424 : 824 = 824 : x
  2. Step 2: Convert to fraction form
    424/824 = 824/x
  3. Step 3: Cross multiply
    424x = 824 × 824
  4. Step 4: Simplify right side
    424x = 678,976
  5. Step 5: Solve for x
    x = 678,976/424
  6. Step 6: Final answer
    x = 1,601.36

Related Problems

Find third proportional to 212 and 412
Half scale
Find third proportional to 848 and 1,648
Double scale
Find third proportional to 426 and 828
Similar ratio
Find third proportional to 636 and 1,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.