Home / 442-823

Finding the Third Proportional to 442 and 823

Calculator

Solution

The third proportional to 442 and 823 is: 1,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 823 = 823 : x
  2. Step 2: Convert to fraction form
    442/823 = 823/x
  3. Step 3: Cross multiply
    442x = 823 × 823
  4. Step 4: Simplify right side
    442x = 677,329
  5. Step 5: Solve for x
    x = 677,329/442
  6. Step 6: Final answer
    x = 1,532.42

Related Problems

Find third proportional to 221 and 411.50
Half scale
Find third proportional to 884 and 1,646
Double scale
Find third proportional to 444 and 827
Similar ratio
Find third proportional to 663 and 1,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.