Home / 777-880

Finding the Third Proportional to 777 and 880

Calculator

Solution

The third proportional to 777 and 880 is: 996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    777 : 880 = 880 : x
  2. Step 2: Convert to fraction form
    777/880 = 880/x
  3. Step 3: Cross multiply
    777x = 880 × 880
  4. Step 4: Simplify right side
    777x = 774,400
  5. Step 5: Solve for x
    x = 774,400/777
  6. Step 6: Final answer
    x = 996.65

Related Problems

Find third proportional to 388.50 and 440
Half scale
Find third proportional to 1,554 and 1,760
Double scale
Find third proportional to 779 and 882
Similar ratio
Find third proportional to 1,165.50 and 1,320
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.