Home / 293-516

Finding the Third Proportional to 293 and 516

Calculator

Solution

The third proportional to 293 and 516 is: 908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293 : 516 = 516 : x
  2. Step 2: Convert to fraction form
    293/516 = 516/x
  3. Step 3: Cross multiply
    293x = 516 × 516
  4. Step 4: Simplify right side
    293x = 266,256
  5. Step 5: Solve for x
    x = 266,256/293
  6. Step 6: Final answer
    x = 908.72

Related Problems

Find third proportional to 146.50 and 258
Half scale
Find third proportional to 586 and 1,032
Double scale
Find third proportional to 295 and 520
Similar ratio
Find third proportional to 439.50 and 774
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.