Home / 394-820

Finding the Third Proportional to 394 and 820

Calculator

Solution

The third proportional to 394 and 820 is: 1,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394 : 820 = 820 : x
  2. Step 2: Convert to fraction form
    394/820 = 820/x
  3. Step 3: Cross multiply
    394x = 820 × 820
  4. Step 4: Simplify right side
    394x = 672,400
  5. Step 5: Solve for x
    x = 672,400/394
  6. Step 6: Final answer
    x = 1,706.60

Related Problems

Find third proportional to 197 and 410
Half scale
Find third proportional to 788 and 1,640
Double scale
Find third proportional to 396 and 824
Similar ratio
Find third proportional to 591 and 1,230
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.