Home / 9,779-13,933

Finding the Third Proportional to 9,779 and 13,933

Calculator

Solution

The third proportional to 9,779 and 13,933 is: 19,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779 : 13,933 = 13,933 : x
  2. Step 2: Convert to fraction form
    9,779/13,933 = 13,933/x
  3. Step 3: Cross multiply
    9,779x = 13,933 × 13,933
  4. Step 4: Simplify right side
    9,779x = 194,128,489
  5. Step 5: Solve for x
    x = 194,128,489/9,779
  6. Step 6: Final answer
    x = 19,851.57

Related Problems

Find third proportional to 4,889.50 and 6,966.50
Half scale
Find third proportional to 19,558 and 27,866
Double scale
Find third proportional to 9,781 and 13,936
Similar ratio
Find third proportional to 14,668.50 and 20,899.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.