Home / 303-824

Finding the Third Proportional to 303 and 824

Calculator

Solution

The third proportional to 303 and 824 is: 2,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303 : 824 = 824 : x
  2. Step 2: Convert to fraction form
    303/824 = 824/x
  3. Step 3: Cross multiply
    303x = 824 × 824
  4. Step 4: Simplify right side
    303x = 678,976
  5. Step 5: Solve for x
    x = 678,976/303
  6. Step 6: Final answer
    x = 2,240.84

Related Problems

Find third proportional to 151.50 and 412
Half scale
Find third proportional to 606 and 1,648
Double scale
Find third proportional to 305 and 829
Similar ratio
Find third proportional to 454.50 and 1,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.