Home / 578-819

Finding the Third Proportional to 578 and 819

Calculator

Solution

The third proportional to 578 and 819 is: 1,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 819 = 819 : x
  2. Step 2: Convert to fraction form
    578/819 = 819/x
  3. Step 3: Cross multiply
    578x = 819 × 819
  4. Step 4: Simplify right side
    578x = 670,761
  5. Step 5: Solve for x
    x = 670,761/578
  6. Step 6: Final answer
    x = 1,160.49

Related Problems

Find third proportional to 289 and 409.50
Half scale
Find third proportional to 1,156 and 1,638
Double scale
Find third proportional to 580 and 822
Similar ratio
Find third proportional to 867 and 1,228.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.