Home / 6,524-9,237

Finding the Third Proportional to 6,524 and 9,237

Calculator

Solution

The third proportional to 6,524 and 9,237 is: 13,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524 : 9,237 = 9,237 : x
  2. Step 2: Convert to fraction form
    6,524/9,237 = 9,237/x
  3. Step 3: Cross multiply
    6,524x = 9,237 × 9,237
  4. Step 4: Simplify right side
    6,524x = 85,322,169
  5. Step 5: Solve for x
    x = 85,322,169/6,524
  6. Step 6: Final answer
    x = 13,078.20

Related Problems

Find third proportional to 3,262 and 4,618.50
Half scale
Find third proportional to 13,048 and 18,474
Double scale
Find third proportional to 6,526 and 9,240
Similar ratio
Find third proportional to 9,786 and 13,855.50
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.