Home / 299-345

Finding the Third Proportional to 299 and 345

Calculator

Solution

The third proportional to 299 and 345 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 345 = 345 : x
  2. Step 2: Convert to fraction form
    299/345 = 345/x
  3. Step 3: Cross multiply
    299x = 345 × 345
  4. Step 4: Simplify right side
    299x = 119,025
  5. Step 5: Solve for x
    x = 119,025/299
  6. Step 6: Final answer
    x = 398.08

Related Problems

Find third proportional to 149.50 and 172.50
Half scale
Find third proportional to 598 and 690
Double scale
Find third proportional to 301 and 347
Similar ratio
Find third proportional to 448.50 and 517.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.