Home / 772-828

Finding the Third Proportional to 772 and 828

Calculator

Solution

The third proportional to 772 and 828 is: 888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 828 = 828 : x
  2. Step 2: Convert to fraction form
    772/828 = 828/x
  3. Step 3: Cross multiply
    772x = 828 × 828
  4. Step 4: Simplify right side
    772x = 685,584
  5. Step 5: Solve for x
    x = 685,584/772
  6. Step 6: Final answer
    x = 888.06

Related Problems

Find third proportional to 386 and 414
Half scale
Find third proportional to 1,544 and 1,656
Double scale
Find third proportional to 774 and 830
Similar ratio
Find third proportional to 1,158 and 1,242
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.