Home / 331-830

Finding the Third Proportional to 331 and 830

Calculator

Solution

The third proportional to 331 and 830 is: 2,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    331 : 830 = 830 : x
  2. Step 2: Convert to fraction form
    331/830 = 830/x
  3. Step 3: Cross multiply
    331x = 830 × 830
  4. Step 4: Simplify right side
    331x = 688,900
  5. Step 5: Solve for x
    x = 688,900/331
  6. Step 6: Final answer
    x = 2,081.27

Related Problems

Find third proportional to 165.50 and 415
Half scale
Find third proportional to 662 and 1,660
Double scale
Find third proportional to 333 and 835
Similar ratio
Find third proportional to 496.50 and 1,245
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.