Home / 7,684-11,596

Finding the Third Proportional to 7,684 and 11,596

Calculator

Solution

The third proportional to 7,684 and 11,596 is: 17,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 11,596 = 11,596 : x
  2. Step 2: Convert to fraction form
    7,684/11,596 = 11,596/x
  3. Step 3: Cross multiply
    7,684x = 11,596 × 11,596
  4. Step 4: Simplify right side
    7,684x = 134,467,216
  5. Step 5: Solve for x
    x = 134,467,216/7,684
  6. Step 6: Final answer
    x = 17,499.64

Related Problems

Find third proportional to 3,842 and 5,798
Half scale
Find third proportional to 15,368 and 23,192
Double scale
Find third proportional to 7,686 and 11,599
Similar ratio
Find third proportional to 11,526 and 17,394
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.