Home / 7,864-12,684

Finding the Third Proportional to 7,864 and 12,684

Calculator

Solution

The third proportional to 7,864 and 12,684 is: 20,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 12,684 = 12,684 : x
  2. Step 2: Convert to fraction form
    7,864/12,684 = 12,684/x
  3. Step 3: Cross multiply
    7,864x = 12,684 × 12,684
  4. Step 4: Simplify right side
    7,864x = 160,883,856
  5. Step 5: Solve for x
    x = 160,883,856/7,864
  6. Step 6: Final answer
    x = 20,458.27

Related Problems

Find third proportional to 3,932 and 6,342
Half scale
Find third proportional to 15,728 and 25,368
Double scale
Find third proportional to 7,866 and 12,687
Similar ratio
Find third proportional to 11,796 and 19,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.