Home / 8,034-16,684

Finding the Third Proportional to 8,034 and 16,684

Calculator

Solution

The third proportional to 8,034 and 16,684 is: 34,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 16,684 = 16,684 : x
  2. Step 2: Convert to fraction form
    8,034/16,684 = 16,684/x
  3. Step 3: Cross multiply
    8,034x = 16,684 × 16,684
  4. Step 4: Simplify right side
    8,034x = 278,355,856
  5. Step 5: Solve for x
    x = 278,355,856/8,034
  6. Step 6: Final answer
    x = 34,647.23

Related Problems

Find third proportional to 4,017 and 8,342
Half scale
Find third proportional to 16,068 and 33,368
Double scale
Find third proportional to 8,036 and 16,688
Similar ratio
Find third proportional to 12,051 and 25,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.