Home / 6,596-9,662

Finding the Third Proportional to 6,596 and 9,662

Calculator

Solution

The third proportional to 6,596 and 9,662 is: 14,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 9,662 = 9,662 : x
  2. Step 2: Convert to fraction form
    6,596/9,662 = 9,662/x
  3. Step 3: Cross multiply
    6,596x = 9,662 × 9,662
  4. Step 4: Simplify right side
    6,596x = 93,354,244
  5. Step 5: Solve for x
    x = 93,354,244/6,596
  6. Step 6: Final answer
    x = 14,153.16

Related Problems

Find third proportional to 3,298 and 4,831
Half scale
Find third proportional to 13,192 and 19,324
Double scale
Find third proportional to 6,598 and 9,665
Similar ratio
Find third proportional to 9,894 and 14,493
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.