Home / 408.50-582.25

Finding the Third Proportional to 408.50 and 582.25

Calculator

Solution

The third proportional to 408.50 and 582.25 is: 829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.50 : 582.25 = 582.25 : x
  2. Step 2: Convert to fraction form
    408.50/582.25 = 582.25/x
  3. Step 3: Cross multiply
    408.50x = 582.25 × 582.25
  4. Step 4: Simplify right side
    408.50x = 339,015.06
  5. Step 5: Solve for x
    x = 339,015.06/408.50
  6. Step 6: Final answer
    x = 829.90

Related Problems

Find third proportional to 204.25 and 291.13
Half scale
Find third proportional to 817 and 1,164.50
Double scale
Find third proportional to 411 and 585
Similar ratio
Find third proportional to 612.75 and 873.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.