Home / 516-591

Finding the Third Proportional to 516 and 591

Calculator

Solution

The third proportional to 516 and 591 is: 676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 591 = 591 : x
  2. Step 2: Convert to fraction form
    516/591 = 591/x
  3. Step 3: Cross multiply
    516x = 591 × 591
  4. Step 4: Simplify right side
    516x = 349,281
  5. Step 5: Solve for x
    x = 349,281/516
  6. Step 6: Final answer
    x = 676.90

Related Problems

Find third proportional to 258 and 295.50
Half scale
Find third proportional to 1,032 and 1,182
Double scale
Find third proportional to 518 and 593
Similar ratio
Find third proportional to 774 and 886.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.