Home / 8,782-11,830

Finding the Third Proportional to 8,782 and 11,830

Calculator

Solution

The third proportional to 8,782 and 11,830 is: 15,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782 : 11,830 = 11,830 : x
  2. Step 2: Convert to fraction form
    8,782/11,830 = 11,830/x
  3. Step 3: Cross multiply
    8,782x = 11,830 × 11,830
  4. Step 4: Simplify right side
    8,782x = 139,948,900
  5. Step 5: Solve for x
    x = 139,948,900/8,782
  6. Step 6: Final answer
    x = 15,935.88

Related Problems

Find third proportional to 4,391 and 5,915
Half scale
Find third proportional to 17,564 and 23,660
Double scale
Find third proportional to 8,784 and 11,833
Similar ratio
Find third proportional to 13,173 and 17,745
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.