Home / 427.50-827

Finding the Third Proportional to 427.50 and 827

Calculator

Solution

The third proportional to 427.50 and 827 is: 1,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 827 = 827 : x
  2. Step 2: Convert to fraction form
    427.50/827 = 827/x
  3. Step 3: Cross multiply
    427.50x = 827 × 827
  4. Step 4: Simplify right side
    427.50x = 683,929
  5. Step 5: Solve for x
    x = 683,929/427.50
  6. Step 6: Final answer
    x = 1,599.83

Related Problems

Find third proportional to 213.75 and 413.50
Half scale
Find third proportional to 855 and 1,654
Double scale
Find third proportional to 430 and 831
Similar ratio
Find third proportional to 641.25 and 1,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.