Home / 600-684

Finding the Third Proportional to 600 and 684

Calculator

Solution

The third proportional to 600 and 684 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    600/684 = 684/x
  3. Step 3: Cross multiply
    600x = 684 × 684
  4. Step 4: Simplify right side
    600x = 467,856
  5. Step 5: Solve for x
    x = 467,856/600
  6. Step 6: Final answer
    x = 779.76

Related Problems

Find third proportional to 300 and 342
Half scale
Find third proportional to 1,200 and 1,368
Double scale
Find third proportional to 602 and 686
Similar ratio
Find third proportional to 900 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.