Home / 299-598

Finding the Third Proportional to 299 and 598

Calculator

Solution

The third proportional to 299 and 598 is: 1,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 598 = 598 : x
  2. Step 2: Convert to fraction form
    299/598 = 598/x
  3. Step 3: Cross multiply
    299x = 598 × 598
  4. Step 4: Simplify right side
    299x = 357,604
  5. Step 5: Solve for x
    x = 357,604/299
  6. Step 6: Final answer
    x = 1,196

Related Problems

Find third proportional to 149.50 and 299
Half scale
Find third proportional to 598 and 1,196
Double scale
Find third proportional to 301 and 602
Similar ratio
Find third proportional to 448.50 and 897
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.