Home / 11,660-18,464

Finding the Third Proportional to 11,660 and 18,464

Calculator

Solution

The third proportional to 11,660 and 18,464 is: 29,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660 : 18,464 = 18,464 : x
  2. Step 2: Convert to fraction form
    11,660/18,464 = 18,464/x
  3. Step 3: Cross multiply
    11,660x = 18,464 × 18,464
  4. Step 4: Simplify right side
    11,660x = 340,919,296
  5. Step 5: Solve for x
    x = 340,919,296/11,660
  6. Step 6: Final answer
    x = 29,238.36

Related Problems

Find third proportional to 5,830 and 9,232
Half scale
Find third proportional to 23,320 and 36,928
Double scale
Find third proportional to 11,662 and 18,467
Similar ratio
Find third proportional to 17,490 and 27,696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.