Home / 572-827

Finding the Third Proportional to 572 and 827

Calculator

Solution

The third proportional to 572 and 827 is: 1,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572 : 827 = 827 : x
  2. Step 2: Convert to fraction form
    572/827 = 827/x
  3. Step 3: Cross multiply
    572x = 827 × 827
  4. Step 4: Simplify right side
    572x = 683,929
  5. Step 5: Solve for x
    x = 683,929/572
  6. Step 6: Final answer
    x = 1,195.68

Related Problems

Find third proportional to 286 and 413.50
Half scale
Find third proportional to 1,144 and 1,654
Double scale
Find third proportional to 574 and 830
Similar ratio
Find third proportional to 858 and 1,240.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.