Home / 331.31-419.06

Finding the Third Proportional to 331.31 and 419.06

Calculator

Solution

The third proportional to 331.31 and 419.06 is: 530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 419.06 = 419.06 : x
  2. Step 2: Convert to fraction form
    331.31/419.06 = 419.06/x
  3. Step 3: Cross multiply
    331.31x = 419.06 × 419.06
  4. Step 4: Simplify right side
    331.31x = 175,613.38
  5. Step 5: Solve for x
    x = 175,613.38/331.31
  6. Step 6: Final answer
    x = 530.05

Related Problems

Find third proportional to 165.66 and 209.53
Half scale
Find third proportional to 662.63 and 838.13
Double scale
Find third proportional to 333 and 422
Similar ratio
Find third proportional to 496.97 and 628.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.