Home / 722-828

Finding the Third Proportional to 722 and 828

Calculator

Solution

The third proportional to 722 and 828 is: 949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    722 : 828 = 828 : x
  2. Step 2: Convert to fraction form
    722/828 = 828/x
  3. Step 3: Cross multiply
    722x = 828 × 828
  4. Step 4: Simplify right side
    722x = 685,584
  5. Step 5: Solve for x
    x = 685,584/722
  6. Step 6: Final answer
    x = 949.56

Related Problems

Find third proportional to 361 and 414
Half scale
Find third proportional to 1,444 and 1,656
Double scale
Find third proportional to 724 and 830
Similar ratio
Find third proportional to 1,083 and 1,242
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.