Home / 240-409.50

Finding the Third Proportional to 240 and 409.50

Calculator

Solution

The third proportional to 240 and 409.50 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240 : 409.50 = 409.50 : x
  2. Step 2: Convert to fraction form
    240/409.50 = 409.50/x
  3. Step 3: Cross multiply
    240x = 409.50 × 409.50
  4. Step 4: Simplify right side
    240x = 167,690.25
  5. Step 5: Solve for x
    x = 167,690.25/240
  6. Step 6: Final answer
    x = 698.71

Related Problems

Find third proportional to 120 and 204.75
Half scale
Find third proportional to 480 and 819
Double scale
Find third proportional to 242 and 413
Similar ratio
Find third proportional to 360 and 614.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.