Home / 438-589

Finding the Third Proportional to 438 and 589

Calculator

Solution

The third proportional to 438 and 589 is: 792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 589 = 589 : x
  2. Step 2: Convert to fraction form
    438/589 = 589/x
  3. Step 3: Cross multiply
    438x = 589 × 589
  4. Step 4: Simplify right side
    438x = 346,921
  5. Step 5: Solve for x
    x = 346,921/438
  6. Step 6: Final answer
    x = 792.06

Related Problems

Find third proportional to 219 and 294.50
Half scale
Find third proportional to 876 and 1,178
Double scale
Find third proportional to 440 and 592
Similar ratio
Find third proportional to 657 and 883.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.