Home / 185.50-419

Finding the Third Proportional to 185.50 and 419

Calculator

Solution

The third proportional to 185.50 and 419 is: 946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.50 : 419 = 419 : x
  2. Step 2: Convert to fraction form
    185.50/419 = 419/x
  3. Step 3: Cross multiply
    185.50x = 419 × 419
  4. Step 4: Simplify right side
    185.50x = 175,561
  5. Step 5: Solve for x
    x = 175,561/185.50
  6. Step 6: Final answer
    x = 946.42

Related Problems

Find third proportional to 92.75 and 209.50
Half scale
Find third proportional to 371 and 838
Double scale
Find third proportional to 188 and 424
Similar ratio
Find third proportional to 278.25 and 628.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.