Home / 289-416

Finding the Third Proportional to 289 and 416

Calculator

Solution

The third proportional to 289 and 416 is: 598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 416 = 416 : x
  2. Step 2: Convert to fraction form
    289/416 = 416/x
  3. Step 3: Cross multiply
    289x = 416 × 416
  4. Step 4: Simplify right side
    289x = 173,056
  5. Step 5: Solve for x
    x = 173,056/289
  6. Step 6: Final answer
    x = 598.81

Related Problems

Find third proportional to 144.50 and 208
Half scale
Find third proportional to 578 and 832
Double scale
Find third proportional to 291 and 419
Similar ratio
Find third proportional to 433.50 and 624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.