Home / 534-822

Finding the Third Proportional to 534 and 822

Calculator

Solution

The third proportional to 534 and 822 is: 1,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    534/822 = 822/x
  3. Step 3: Cross multiply
    534x = 822 × 822
  4. Step 4: Simplify right side
    534x = 675,684
  5. Step 5: Solve for x
    x = 675,684/534
  6. Step 6: Final answer
    x = 1,265.33

Related Problems

Find third proportional to 267 and 411
Half scale
Find third proportional to 1,068 and 1,644
Double scale
Find third proportional to 536 and 825
Similar ratio
Find third proportional to 801 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.