Home / 218-516

Finding the Third Proportional to 218 and 516

Calculator

Solution

The third proportional to 218 and 516 is: 1,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218 : 516 = 516 : x
  2. Step 2: Convert to fraction form
    218/516 = 516/x
  3. Step 3: Cross multiply
    218x = 516 × 516
  4. Step 4: Simplify right side
    218x = 266,256
  5. Step 5: Solve for x
    x = 266,256/218
  6. Step 6: Final answer
    x = 1,221.36

Related Problems

Find third proportional to 109 and 258
Half scale
Find third proportional to 436 and 1,032
Double scale
Find third proportional to 220 and 521
Similar ratio
Find third proportional to 327 and 774
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.