Home / 411.25-830

Finding the Third Proportional to 411.25 and 830

Calculator

Solution

The third proportional to 411.25 and 830 is: 1,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.25 : 830 = 830 : x
  2. Step 2: Convert to fraction form
    411.25/830 = 830/x
  3. Step 3: Cross multiply
    411.25x = 830 × 830
  4. Step 4: Simplify right side
    411.25x = 688,900
  5. Step 5: Solve for x
    x = 688,900/411.25
  6. Step 6: Final answer
    x = 1,675.14

Related Problems

Find third proportional to 205.63 and 415
Half scale
Find third proportional to 822.50 and 1,660
Double scale
Find third proportional to 413 and 834
Similar ratio
Find third proportional to 616.88 and 1,245
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.