Home / 7,564-11,696

Finding the Third Proportional to 7,564 and 11,696

Calculator

Solution

The third proportional to 7,564 and 11,696 is: 18,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564 : 11,696 = 11,696 : x
  2. Step 2: Convert to fraction form
    7,564/11,696 = 11,696/x
  3. Step 3: Cross multiply
    7,564x = 11,696 × 11,696
  4. Step 4: Simplify right side
    7,564x = 136,796,416
  5. Step 5: Solve for x
    x = 136,796,416/7,564
  6. Step 6: Final answer
    x = 18,085.20

Related Problems

Find third proportional to 3,782 and 5,848
Half scale
Find third proportional to 15,128 and 23,392
Double scale
Find third proportional to 7,566 and 11,699
Similar ratio
Find third proportional to 11,346 and 17,544
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.