Home / 513.94-821.53

Finding the Third Proportional to 513.94 and 821.53

Calculator

Solution

The third proportional to 513.94 and 821.53 is: 1,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 821.53 = 821.53 : x
  2. Step 2: Convert to fraction form
    513.94/821.53 = 821.53/x
  3. Step 3: Cross multiply
    513.94x = 821.53 × 821.53
  4. Step 4: Simplify right side
    513.94x = 674,913.59
  5. Step 5: Solve for x
    x = 674,913.59/513.94
  6. Step 6: Final answer
    x = 1,313.22

Related Problems

Find third proportional to 256.97 and 410.77
Half scale
Find third proportional to 1,027.88 and 1,643.06
Double scale
Find third proportional to 516 and 825
Similar ratio
Find third proportional to 770.91 and 1,232.30
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.