Home / 6,299-8,356

Finding the Third Proportional to 6,299 and 8,356

Calculator

Solution

The third proportional to 6,299 and 8,356 is: 11,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299 : 8,356 = 8,356 : x
  2. Step 2: Convert to fraction form
    6,299/8,356 = 8,356/x
  3. Step 3: Cross multiply
    6,299x = 8,356 × 8,356
  4. Step 4: Simplify right side
    6,299x = 69,822,736
  5. Step 5: Solve for x
    x = 69,822,736/6,299
  6. Step 6: Final answer
    x = 11,084.73

Related Problems

Find third proportional to 3,149.50 and 4,178
Half scale
Find third proportional to 12,598 and 16,712
Double scale
Find third proportional to 6,301 and 8,359
Similar ratio
Find third proportional to 9,448.50 and 12,534
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.