Home / 8,740-11,782

Finding the Third Proportional to 8,740 and 11,782

Calculator

Solution

The third proportional to 8,740 and 11,782 is: 15,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740 : 11,782 = 11,782 : x
  2. Step 2: Convert to fraction form
    8,740/11,782 = 11,782/x
  3. Step 3: Cross multiply
    8,740x = 11,782 × 11,782
  4. Step 4: Simplify right side
    8,740x = 138,815,524
  5. Step 5: Solve for x
    x = 138,815,524/8,740
  6. Step 6: Final answer
    x = 15,882.78

Related Problems

Find third proportional to 4,370 and 5,891
Half scale
Find third proportional to 17,480 and 23,564
Double scale
Find third proportional to 8,742 and 11,785
Similar ratio
Find third proportional to 13,110 and 17,673
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.