Home / 6,402-9,311

Finding the Third Proportional to 6,402 and 9,311

Calculator

Solution

The third proportional to 6,402 and 9,311 is: 13,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 9,311 = 9,311 : x
  2. Step 2: Convert to fraction form
    6,402/9,311 = 9,311/x
  3. Step 3: Cross multiply
    6,402x = 9,311 × 9,311
  4. Step 4: Simplify right side
    6,402x = 86,694,721
  5. Step 5: Solve for x
    x = 86,694,721/6,402
  6. Step 6: Final answer
    x = 13,541.82

Related Problems

Find third proportional to 3,201 and 4,655.50
Half scale
Find third proportional to 12,804 and 18,622
Double scale
Find third proportional to 6,404 and 9,314
Similar ratio
Find third proportional to 9,603 and 13,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.