Home / 231-409

Finding the Third Proportional to 231 and 409

Calculator

Solution

The third proportional to 231 and 409 is: 724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 409 = 409 : x
  2. Step 2: Convert to fraction form
    231/409 = 409/x
  3. Step 3: Cross multiply
    231x = 409 × 409
  4. Step 4: Simplify right side
    231x = 167,281
  5. Step 5: Solve for x
    x = 167,281/231
  6. Step 6: Final answer
    x = 724.16

Related Problems

Find third proportional to 115.50 and 204.50
Half scale
Find third proportional to 462 and 818
Double scale
Find third proportional to 233 and 413
Similar ratio
Find third proportional to 346.50 and 613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.