Home / 5,834-8,319

Finding the Third Proportional to 5,834 and 8,319

Calculator

Solution

The third proportional to 5,834 and 8,319 is: 11,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834 : 8,319 = 8,319 : x
  2. Step 2: Convert to fraction form
    5,834/8,319 = 8,319/x
  3. Step 3: Cross multiply
    5,834x = 8,319 × 8,319
  4. Step 4: Simplify right side
    5,834x = 69,205,761
  5. Step 5: Solve for x
    x = 69,205,761/5,834
  6. Step 6: Final answer
    x = 11,862.49

Related Problems

Find third proportional to 2,917 and 4,159.50
Half scale
Find third proportional to 11,668 and 16,638
Double scale
Find third proportional to 5,836 and 8,322
Similar ratio
Find third proportional to 8,751 and 12,478.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.