Home / 653-822

Finding the Third Proportional to 653 and 822

Calculator

Solution

The third proportional to 653 and 822 is: 1,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653 : 822 = 822 : x
  2. Step 2: Convert to fraction form
    653/822 = 822/x
  3. Step 3: Cross multiply
    653x = 822 × 822
  4. Step 4: Simplify right side
    653x = 675,684
  5. Step 5: Solve for x
    x = 675,684/653
  6. Step 6: Final answer
    x = 1,034.74

Related Problems

Find third proportional to 326.50 and 411
Half scale
Find third proportional to 1,306 and 1,644
Double scale
Find third proportional to 655 and 825
Similar ratio
Find third proportional to 979.50 and 1,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.