Home / 6,191-9,591

Finding the Third Proportional to 6,191 and 9,591

Calculator

Solution

The third proportional to 6,191 and 9,591 is: 14,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191 : 9,591 = 9,591 : x
  2. Step 2: Convert to fraction form
    6,191/9,591 = 9,591/x
  3. Step 3: Cross multiply
    6,191x = 9,591 × 9,591
  4. Step 4: Simplify right side
    6,191x = 91,987,281
  5. Step 5: Solve for x
    x = 91,987,281/6,191
  6. Step 6: Final answer
    x = 14,858.23

Related Problems

Find third proportional to 3,095.50 and 4,795.50
Half scale
Find third proportional to 12,382 and 19,182
Double scale
Find third proportional to 6,193 and 9,594
Similar ratio
Find third proportional to 9,286.50 and 14,386.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.