Home / 579-684

Finding the Third Proportional to 579 and 684

Calculator

Solution

The third proportional to 579 and 684 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    579/684 = 684/x
  3. Step 3: Cross multiply
    579x = 684 × 684
  4. Step 4: Simplify right side
    579x = 467,856
  5. Step 5: Solve for x
    x = 467,856/579
  6. Step 6: Final answer
    x = 808.04

Related Problems

Find third proportional to 289.50 and 342
Half scale
Find third proportional to 1,158 and 1,368
Double scale
Find third proportional to 581 and 686
Similar ratio
Find third proportional to 868.50 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.