Home / 696-777

Finding the Third Proportional to 696 and 777

Calculator

Solution

The third proportional to 696 and 777 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 777 = 777 : x
  2. Step 2: Convert to fraction form
    696/777 = 777/x
  3. Step 3: Cross multiply
    696x = 777 × 777
  4. Step 4: Simplify right side
    696x = 603,729
  5. Step 5: Solve for x
    x = 603,729/696
  6. Step 6: Final answer
    x = 867.43

Related Problems

Find third proportional to 348 and 388.50
Half scale
Find third proportional to 1,392 and 1,554
Double scale
Find third proportional to 698 and 779
Similar ratio
Find third proportional to 1,044 and 1,165.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.