Home / 299-440

Finding the Third Proportional to 299 and 440

Calculator

Solution

The third proportional to 299 and 440 is: 647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 440 = 440 : x
  2. Step 2: Convert to fraction form
    299/440 = 440/x
  3. Step 3: Cross multiply
    299x = 440 × 440
  4. Step 4: Simplify right side
    299x = 193,600
  5. Step 5: Solve for x
    x = 193,600/299
  6. Step 6: Final answer
    x = 647.49

Related Problems

Find third proportional to 149.50 and 220
Half scale
Find third proportional to 598 and 880
Double scale
Find third proportional to 301 and 443
Similar ratio
Find third proportional to 448.50 and 660
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.