Home / 185.50-409

Finding the Third Proportional to 185.50 and 409

Calculator

Solution

The third proportional to 185.50 and 409 is: 901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.50 : 409 = 409 : x
  2. Step 2: Convert to fraction form
    185.50/409 = 409/x
  3. Step 3: Cross multiply
    185.50x = 409 × 409
  4. Step 4: Simplify right side
    185.50x = 167,281
  5. Step 5: Solve for x
    x = 167,281/185.50
  6. Step 6: Final answer
    x = 901.78

Related Problems

Find third proportional to 92.75 and 204.50
Half scale
Find third proportional to 371 and 818
Double scale
Find third proportional to 188 and 413
Similar ratio
Find third proportional to 278.25 and 613.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.