Home / 813.48-1,684.86

Finding the Third Proportional to 813.48 and 1,684.86

Calculator

Solution

The third proportional to 813.48 and 1,684.86 is: 3,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.48 : 1,684.86 = 1,684.86 : x
  2. Step 2: Convert to fraction form
    813.48/1,684.86 = 1,684.86/x
  3. Step 3: Cross multiply
    813.48x = 1,684.86 × 1,684.86
  4. Step 4: Simplify right side
    813.48x = 2,838,764.28
  5. Step 5: Solve for x
    x = 2,838,764.28/813.48
  6. Step 6: Final answer
    x = 3,489.65

Related Problems

Find third proportional to 406.74 and 842.43
Half scale
Find third proportional to 1,626.96 and 3,369.73
Double scale
Find third proportional to 815 and 1,689
Similar ratio
Find third proportional to 1,220.22 and 2,527.29
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.