Home / 684-1,305

Finding the Third Proportional to 684 and 1,305

Calculator

Solution

The third proportional to 684 and 1,305 is: 2,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 1,305 = 1,305 : x
  2. Step 2: Convert to fraction form
    684/1,305 = 1,305/x
  3. Step 3: Cross multiply
    684x = 1,305 × 1,305
  4. Step 4: Simplify right side
    684x = 1,703,025
  5. Step 5: Solve for x
    x = 1,703,025/684
  6. Step 6: Final answer
    x = 2,489.80

Related Problems

Find third proportional to 342 and 652.50
Half scale
Find third proportional to 1,368 and 2,610
Double scale
Find third proportional to 686 and 1,309
Similar ratio
Find third proportional to 1,026 and 1,957.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.