Home / 270.98-419.41

Finding the Third Proportional to 270.98 and 419.41

Calculator

Solution

The third proportional to 270.98 and 419.41 is: 649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 419.41 = 419.41 : x
  2. Step 2: Convert to fraction form
    270.98/419.41 = 419.41/x
  3. Step 3: Cross multiply
    270.98x = 419.41 × 419.41
  4. Step 4: Simplify right side
    270.98x = 175,908.16
  5. Step 5: Solve for x
    x = 175,908.16/270.98
  6. Step 6: Final answer
    x = 649.15

Related Problems

Find third proportional to 135.49 and 209.71
Half scale
Find third proportional to 541.97 and 838.83
Double scale
Find third proportional to 273 and 423
Similar ratio
Find third proportional to 406.48 and 629.12
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.