Home / 231.50-419

Finding the Third Proportional to 231.50 and 419

Calculator

Solution

The third proportional to 231.50 and 419 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.50 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    231.50/419 = 419/x
  3. Step 3: Cross multiply
    231.50x = 419 × 419
  4. Step 4: Simplify right side
    231.50x = 175,561
  5. Step 5: Solve for x
    x = 175,561/231.50
  6. Step 6: Final answer
    x = 758.36

Related Problems

Find third proportional to 115.75 and 209.50
Half scale
Find third proportional to 463 and 838
Double scale
Find third proportional to 234 and 423
Similar ratio
Find third proportional to 347.25 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.