Home / 585-684

Finding the Third Proportional to 585 and 684

Calculator

Solution

The third proportional to 585 and 684 is: 799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    585/684 = 684/x
  3. Step 3: Cross multiply
    585x = 684 × 684
  4. Step 4: Simplify right side
    585x = 467,856
  5. Step 5: Solve for x
    x = 467,856/585
  6. Step 6: Final answer
    x = 799.75

Related Problems

Find third proportional to 292.50 and 342
Half scale
Find third proportional to 1,170 and 1,368
Double scale
Find third proportional to 587 and 686
Similar ratio
Find third proportional to 877.50 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.