Home / 655-828

Finding the Third Proportional to 655 and 828

Calculator

Solution

The third proportional to 655 and 828 is: 1,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    655 : 828 = 828 : x
  2. Step 2: Convert to fraction form
    655/828 = 828/x
  3. Step 3: Cross multiply
    655x = 828 × 828
  4. Step 4: Simplify right side
    655x = 685,584
  5. Step 5: Solve for x
    x = 685,584/655
  6. Step 6: Final answer
    x = 1,046.69

Related Problems

Find third proportional to 327.50 and 414
Half scale
Find third proportional to 1,310 and 1,656
Double scale
Find third proportional to 657 and 831
Similar ratio
Find third proportional to 982.50 and 1,242
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.