Home / 6,539-9,530

Finding the Third Proportional to 6,539 and 9,530

Calculator

Solution

The third proportional to 6,539 and 9,530 is: 13,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539 : 9,530 = 9,530 : x
  2. Step 2: Convert to fraction form
    6,539/9,530 = 9,530/x
  3. Step 3: Cross multiply
    6,539x = 9,530 × 9,530
  4. Step 4: Simplify right side
    6,539x = 90,820,900
  5. Step 5: Solve for x
    x = 90,820,900/6,539
  6. Step 6: Final answer
    x = 13,889.11

Related Problems

Find third proportional to 3,269.50 and 4,765
Half scale
Find third proportional to 13,078 and 19,060
Double scale
Find third proportional to 6,541 and 9,533
Similar ratio
Find third proportional to 9,808.50 and 14,295
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.