Home / 338-590

Finding the Third Proportional to 338 and 590

Calculator

Solution

The third proportional to 338 and 590 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 590 = 590 : x
  2. Step 2: Convert to fraction form
    338/590 = 590/x
  3. Step 3: Cross multiply
    338x = 590 × 590
  4. Step 4: Simplify right side
    338x = 348,100
  5. Step 5: Solve for x
    x = 348,100/338
  6. Step 6: Final answer
    x = 1,029.88

Related Problems

Find third proportional to 169 and 295
Half scale
Find third proportional to 676 and 1,180
Double scale
Find third proportional to 340 and 593
Similar ratio
Find third proportional to 507 and 885
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.