Home / 382-830

Finding the Third Proportional to 382 and 830

Calculator

Solution

The third proportional to 382 and 830 is: 1,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 830 = 830 : x
  2. Step 2: Convert to fraction form
    382/830 = 830/x
  3. Step 3: Cross multiply
    382x = 830 × 830
  4. Step 4: Simplify right side
    382x = 688,900
  5. Step 5: Solve for x
    x = 688,900/382
  6. Step 6: Final answer
    x = 1,803.40

Related Problems

Find third proportional to 191 and 415
Half scale
Find third proportional to 764 and 1,660
Double scale
Find third proportional to 384 and 834
Similar ratio
Find third proportional to 573 and 1,245
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.