Home / 762-822

Finding the Third Proportional to 762 and 822

Calculator

Solution

The third proportional to 762 and 822 is: 886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    762/822 = 822/x
  3. Step 3: Cross multiply
    762x = 822 × 822
  4. Step 4: Simplify right side
    762x = 675,684
  5. Step 5: Solve for x
    x = 675,684/762
  6. Step 6: Final answer
    x = 886.72

Related Problems

Find third proportional to 381 and 411
Half scale
Find third proportional to 1,524 and 1,644
Double scale
Find third proportional to 764 and 824
Similar ratio
Find third proportional to 1,143 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.