Home / 723-827

Finding the Third Proportional to 723 and 827

Calculator

Solution

The third proportional to 723 and 827 is: 945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 827 = 827 : x
  2. Step 2: Convert to fraction form
    723/827 = 827/x
  3. Step 3: Cross multiply
    723x = 827 × 827
  4. Step 4: Simplify right side
    723x = 683,929
  5. Step 5: Solve for x
    x = 683,929/723
  6. Step 6: Final answer
    x = 945.96

Related Problems

Find third proportional to 361.50 and 413.50
Half scale
Find third proportional to 1,446 and 1,654
Double scale
Find third proportional to 725 and 829
Similar ratio
Find third proportional to 1,084.50 and 1,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.