Home / 419-589

Finding the Third Proportional to 419 and 589

Calculator

Solution

The third proportional to 419 and 589 is: 827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 589 = 589 : x
  2. Step 2: Convert to fraction form
    419/589 = 589/x
  3. Step 3: Cross multiply
    419x = 589 × 589
  4. Step 4: Simplify right side
    419x = 346,921
  5. Step 5: Solve for x
    x = 346,921/419
  6. Step 6: Final answer
    x = 827.97

Related Problems

Find third proportional to 209.50 and 294.50
Half scale
Find third proportional to 838 and 1,178
Double scale
Find third proportional to 421 and 592
Similar ratio
Find third proportional to 628.50 and 883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.