Home / 3,664-7,148

Finding the Third Proportional to 3,664 and 7,148

Calculator

Solution

The third proportional to 3,664 and 7,148 is: 13,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 7,148 = 7,148 : x
  2. Step 2: Convert to fraction form
    3,664/7,148 = 7,148/x
  3. Step 3: Cross multiply
    3,664x = 7,148 × 7,148
  4. Step 4: Simplify right side
    3,664x = 51,093,904
  5. Step 5: Solve for x
    x = 51,093,904/3,664
  6. Step 6: Final answer
    x = 13,944.84

Related Problems

Find third proportional to 1,832 and 3,574
Half scale
Find third proportional to 7,328 and 14,296
Double scale
Find third proportional to 3,666 and 7,152
Similar ratio
Find third proportional to 5,496 and 10,722
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.