Home / 412.25-582.38

Finding the Third Proportional to 412.25 and 582.38

Calculator

Solution

The third proportional to 412.25 and 582.38 is: 822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 582.38 = 582.38 : x
  2. Step 2: Convert to fraction form
    412.25/582.38 = 582.38/x
  3. Step 3: Cross multiply
    412.25x = 582.38 × 582.38
  4. Step 4: Simplify right side
    412.25x = 339,160.64
  5. Step 5: Solve for x
    x = 339,160.64/412.25
  6. Step 6: Final answer
    x = 822.71

Related Problems

Find third proportional to 206.13 and 291.19
Half scale
Find third proportional to 824.50 and 1,164.75
Double scale
Find third proportional to 414 and 585
Similar ratio
Find third proportional to 618.38 and 873.56
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.