Home / 619-823

Finding the Third Proportional to 619 and 823

Calculator

Solution

The third proportional to 619 and 823 is: 1,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619 : 823 = 823 : x
  2. Step 2: Convert to fraction form
    619/823 = 823/x
  3. Step 3: Cross multiply
    619x = 823 × 823
  4. Step 4: Simplify right side
    619x = 677,329
  5. Step 5: Solve for x
    x = 677,329/619
  6. Step 6: Final answer
    x = 1,094.23

Related Problems

Find third proportional to 309.50 and 411.50
Half scale
Find third proportional to 1,238 and 1,646
Double scale
Find third proportional to 621 and 826
Similar ratio
Find third proportional to 928.50 and 1,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.