Home / 377-516

Finding the Third Proportional to 377 and 516

Calculator

Solution

The third proportional to 377 and 516 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377 : 516 = 516 : x
  2. Step 2: Convert to fraction form
    377/516 = 516/x
  3. Step 3: Cross multiply
    377x = 516 × 516
  4. Step 4: Simplify right side
    377x = 266,256
  5. Step 5: Solve for x
    x = 266,256/377
  6. Step 6: Final answer
    x = 706.25

Related Problems

Find third proportional to 188.50 and 258
Half scale
Find third proportional to 754 and 1,032
Double scale
Find third proportional to 379 and 519
Similar ratio
Find third proportional to 565.50 and 774
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.