Home / 404-816

Finding the Third Proportional to 404 and 816

Calculator

Solution

The third proportional to 404 and 816 is: 1,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404 : 816 = 816 : x
  2. Step 2: Convert to fraction form
    404/816 = 816/x
  3. Step 3: Cross multiply
    404x = 816 × 816
  4. Step 4: Simplify right side
    404x = 665,856
  5. Step 5: Solve for x
    x = 665,856/404
  6. Step 6: Final answer
    x = 1,648.16

Related Problems

Find third proportional to 202 and 408
Half scale
Find third proportional to 808 and 1,632
Double scale
Find third proportional to 406 and 820
Similar ratio
Find third proportional to 606 and 1,224
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.