Home / 218.19-513.78

Finding the Third Proportional to 218.19 and 513.78

Calculator

Solution

The third proportional to 218.19 and 513.78 is: 1,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.19 : 513.78 = 513.78 : x
  2. Step 2: Convert to fraction form
    218.19/513.78 = 513.78/x
  3. Step 3: Cross multiply
    218.19x = 513.78 × 513.78
  4. Step 4: Simplify right side
    218.19x = 263,971.17
  5. Step 5: Solve for x
    x = 263,971.17/218.19
  6. Step 6: Final answer
    x = 1,209.84

Related Problems

Find third proportional to 109.09 and 256.89
Half scale
Find third proportional to 436.38 and 1,027.56
Double scale
Find third proportional to 220 and 518
Similar ratio
Find third proportional to 327.28 and 770.67
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.