Home / 394.50-428.25

Finding the Third Proportional to 394.50 and 428.25

Calculator

Solution

The third proportional to 394.50 and 428.25 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 428.25 = 428.25 : x
  2. Step 2: Convert to fraction form
    394.50/428.25 = 428.25/x
  3. Step 3: Cross multiply
    394.50x = 428.25 × 428.25
  4. Step 4: Simplify right side
    394.50x = 183,398.06
  5. Step 5: Solve for x
    x = 183,398.06/394.50
  6. Step 6: Final answer
    x = 464.89

Related Problems

Find third proportional to 197.25 and 214.13
Half scale
Find third proportional to 789 and 856.50
Double scale
Find third proportional to 397 and 430
Similar ratio
Find third proportional to 591.75 and 642.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.