Home / 476-822

Finding the Third Proportional to 476 and 822

Calculator

Solution

The third proportional to 476 and 822 is: 1,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    476/822 = 822/x
  3. Step 3: Cross multiply
    476x = 822 × 822
  4. Step 4: Simplify right side
    476x = 675,684
  5. Step 5: Solve for x
    x = 675,684/476
  6. Step 6: Final answer
    x = 1,419.50

Related Problems

Find third proportional to 238 and 411
Half scale
Find third proportional to 952 and 1,644
Double scale
Find third proportional to 478 and 825
Similar ratio
Find third proportional to 714 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.