Home / 824-1,620

Finding the Third Proportional to 824 and 1,620

Calculator

Solution

The third proportional to 824 and 1,620 is: 3,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824 : 1,620 = 1,620 : x
  2. Step 2: Convert to fraction form
    824/1,620 = 1,620/x
  3. Step 3: Cross multiply
    824x = 1,620 × 1,620
  4. Step 4: Simplify right side
    824x = 2,624,400
  5. Step 5: Solve for x
    x = 2,624,400/824
  6. Step 6: Final answer
    x = 3,184.95

Related Problems

Find third proportional to 412 and 810
Half scale
Find third proportional to 1,648 and 3,240
Double scale
Find third proportional to 826 and 1,624
Similar ratio
Find third proportional to 1,236 and 2,430
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.