Home / 270.75-409.50

Finding the Third Proportional to 270.75 and 409.50

Calculator

Solution

The third proportional to 270.75 and 409.50 is: 619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 409.50 = 409.50 : x
  2. Step 2: Convert to fraction form
    270.75/409.50 = 409.50/x
  3. Step 3: Cross multiply
    270.75x = 409.50 × 409.50
  4. Step 4: Simplify right side
    270.75x = 167,690.25
  5. Step 5: Solve for x
    x = 167,690.25/270.75
  6. Step 6: Final answer
    x = 619.35

Related Problems

Find third proportional to 135.38 and 204.75
Half scale
Find third proportional to 541.50 and 819
Double scale
Find third proportional to 273 and 413
Similar ratio
Find third proportional to 406.13 and 614.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.