Home / 372-824

Finding the Third Proportional to 372 and 824

Calculator

Solution

The third proportional to 372 and 824 is: 1,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372 : 824 = 824 : x
  2. Step 2: Convert to fraction form
    372/824 = 824/x
  3. Step 3: Cross multiply
    372x = 824 × 824
  4. Step 4: Simplify right side
    372x = 678,976
  5. Step 5: Solve for x
    x = 678,976/372
  6. Step 6: Final answer
    x = 1,825.20

Related Problems

Find third proportional to 186 and 412
Half scale
Find third proportional to 744 and 1,648
Double scale
Find third proportional to 374 and 828
Similar ratio
Find third proportional to 558 and 1,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.