Home / 411.75-580.13

Finding the Third Proportional to 411.75 and 580.13

Calculator

Solution

The third proportional to 411.75 and 580.13 is: 817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 580.13 = 580.13 : x
  2. Step 2: Convert to fraction form
    411.75/580.13 = 580.13/x
  3. Step 3: Cross multiply
    411.75x = 580.13 × 580.13
  4. Step 4: Simplify right side
    411.75x = 336,545.02
  5. Step 5: Solve for x
    x = 336,545.02/411.75
  6. Step 6: Final answer
    x = 817.35

Related Problems

Find third proportional to 205.88 and 290.06
Half scale
Find third proportional to 823.50 and 1,160.25
Double scale
Find third proportional to 414 and 583
Similar ratio
Find third proportional to 617.63 and 870.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.