Home / 396-409.50

Finding the Third Proportional to 396 and 409.50

Calculator

Solution

The third proportional to 396 and 409.50 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 409.50 = 409.50 : x
  2. Step 2: Convert to fraction form
    396/409.50 = 409.50/x
  3. Step 3: Cross multiply
    396x = 409.50 × 409.50
  4. Step 4: Simplify right side
    396x = 167,690.25
  5. Step 5: Solve for x
    x = 167,690.25/396
  6. Step 6: Final answer
    x = 423.46

Related Problems

Find third proportional to 198 and 204.75
Half scale
Find third proportional to 792 and 819
Double scale
Find third proportional to 398 and 412
Similar ratio
Find third proportional to 594 and 614.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.