Home / 298-409.75

Finding the Third Proportional to 298 and 409.75

Calculator

Solution

The third proportional to 298 and 409.75 is: 563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 409.75 = 409.75 : x
  2. Step 2: Convert to fraction form
    298/409.75 = 409.75/x
  3. Step 3: Cross multiply
    298x = 409.75 × 409.75
  4. Step 4: Simplify right side
    298x = 167,895.06
  5. Step 5: Solve for x
    x = 167,895.06/298
  6. Step 6: Final answer
    x = 563.41

Related Problems

Find third proportional to 149 and 204.88
Half scale
Find third proportional to 596 and 819.50
Double scale
Find third proportional to 300 and 413
Similar ratio
Find third proportional to 447 and 614.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.