Home / 608-827

Finding the Third Proportional to 608 and 827

Calculator

Solution

The third proportional to 608 and 827 is: 1,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 827 = 827 : x
  2. Step 2: Convert to fraction form
    608/827 = 827/x
  3. Step 3: Cross multiply
    608x = 827 × 827
  4. Step 4: Simplify right side
    608x = 683,929
  5. Step 5: Solve for x
    x = 683,929/608
  6. Step 6: Final answer
    x = 1,124.88

Related Problems

Find third proportional to 304 and 413.50
Half scale
Find third proportional to 1,216 and 1,654
Double scale
Find third proportional to 610 and 830
Similar ratio
Find third proportional to 912 and 1,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.