Home / 291,208-412,512

Finding the Third Proportional to 291,208 and 412,512

Calculator

Solution

The third proportional to 291,208 and 412,512 is: 584,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,208 : 412,512 = 412,512 : x
  2. Step 2: Convert to fraction form
    291,208/412,512 = 412,512/x
  3. Step 3: Cross multiply
    291,208x = 412,512 × 412,512
  4. Step 4: Simplify right side
    291,208x = 170,166,150,144
  5. Step 5: Solve for x
    x = 170,166,150,144/291,208
  6. Step 6: Final answer
    x = 584,345.73

Related Problems

Find third proportional to 145,604 and 206,256
Half scale
Find third proportional to 582,416 and 825,024
Double scale
Find third proportional to 291,210 and 412,515
Similar ratio
Find third proportional to 436,812 and 618,768
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.