Home / 681-864

Finding the Third Proportional to 681 and 864

Calculator

Solution

The third proportional to 681 and 864 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 864 = 864 : x
  2. Step 2: Convert to fraction form
    681/864 = 864/x
  3. Step 3: Cross multiply
    681x = 864 × 864
  4. Step 4: Simplify right side
    681x = 746,496
  5. Step 5: Solve for x
    x = 746,496/681
  6. Step 6: Final answer
    x = 1,096.18

Related Problems

Find third proportional to 340.50 and 432
Half scale
Find third proportional to 1,362 and 1,728
Double scale
Find third proportional to 683 and 867
Similar ratio
Find third proportional to 1,021.50 and 1,296
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.