Home / 6,538-9,317

Finding the Third Proportional to 6,538 and 9,317

Calculator

Solution

The third proportional to 6,538 and 9,317 is: 13,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 9,317 = 9,317 : x
  2. Step 2: Convert to fraction form
    6,538/9,317 = 9,317/x
  3. Step 3: Cross multiply
    6,538x = 9,317 × 9,317
  4. Step 4: Simplify right side
    6,538x = 86,806,489
  5. Step 5: Solve for x
    x = 86,806,489/6,538
  6. Step 6: Final answer
    x = 13,277.22

Related Problems

Find third proportional to 3,269 and 4,658.50
Half scale
Find third proportional to 13,076 and 18,634
Double scale
Find third proportional to 6,540 and 9,320
Similar ratio
Find third proportional to 9,807 and 13,975.50
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.