Home / 365.13-419.13

Finding the Third Proportional to 365.13 and 419.13

Calculator

Solution

The third proportional to 365.13 and 419.13 is: 481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.13 : 419.13 = 419.13 : x
  2. Step 2: Convert to fraction form
    365.13/419.13 = 419.13/x
  3. Step 3: Cross multiply
    365.13x = 419.13 × 419.13
  4. Step 4: Simplify right side
    365.13x = 175,672.31
  5. Step 5: Solve for x
    x = 175,672.31/365.13
  6. Step 6: Final answer
    x = 481.12

Related Problems

Find third proportional to 182.57 and 209.57
Half scale
Find third proportional to 730.27 and 838.27
Double scale
Find third proportional to 367 and 421
Similar ratio
Find third proportional to 547.70 and 628.70
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.