Home / 411-584

Finding the Third Proportional to 411 and 584

Calculator

Solution

The third proportional to 411 and 584 is: 829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 584 = 584 : x
  2. Step 2: Convert to fraction form
    411/584 = 584/x
  3. Step 3: Cross multiply
    411x = 584 × 584
  4. Step 4: Simplify right side
    411x = 341,056
  5. Step 5: Solve for x
    x = 341,056/411
  6. Step 6: Final answer
    x = 829.82

Related Problems

Find third proportional to 205.50 and 292
Half scale
Find third proportional to 822 and 1,168
Double scale
Find third proportional to 413 and 587
Similar ratio
Find third proportional to 616.50 and 876
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.