Home / 574-821

Finding the Third Proportional to 574 and 821

Calculator

Solution

The third proportional to 574 and 821 is: 1,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 821 = 821 : x
  2. Step 2: Convert to fraction form
    574/821 = 821/x
  3. Step 3: Cross multiply
    574x = 821 × 821
  4. Step 4: Simplify right side
    574x = 674,041
  5. Step 5: Solve for x
    x = 674,041/574
  6. Step 6: Final answer
    x = 1,174.29

Related Problems

Find third proportional to 287 and 410.50
Half scale
Find third proportional to 1,148 and 1,642
Double scale
Find third proportional to 576 and 824
Similar ratio
Find third proportional to 861 and 1,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.