Home / 278.16-418.22

Finding the Third Proportional to 278.16 and 418.22

Calculator

Solution

The third proportional to 278.16 and 418.22 is: 628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 418.22 = 418.22 : x
  2. Step 2: Convert to fraction form
    278.16/418.22 = 418.22/x
  3. Step 3: Cross multiply
    278.16x = 418.22 × 418.22
  4. Step 4: Simplify right side
    278.16x = 174,906.92
  5. Step 5: Solve for x
    x = 174,906.92/278.16
  6. Step 6: Final answer
    x = 628.81

Related Problems

Find third proportional to 139.08 and 209.11
Half scale
Find third proportional to 556.31 and 836.44
Double scale
Find third proportional to 280 and 421
Similar ratio
Find third proportional to 417.23 and 627.33
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.