Home / 11,212-14,658

Finding the Third Proportional to 11,212 and 14,658

Calculator

Solution

The third proportional to 11,212 and 14,658 is: 19,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212 : 14,658 = 14,658 : x
  2. Step 2: Convert to fraction form
    11,212/14,658 = 14,658/x
  3. Step 3: Cross multiply
    11,212x = 14,658 × 14,658
  4. Step 4: Simplify right side
    11,212x = 214,856,964
  5. Step 5: Solve for x
    x = 214,856,964/11,212
  6. Step 6: Final answer
    x = 19,163.13

Related Problems

Find third proportional to 5,606 and 7,329
Half scale
Find third proportional to 22,424 and 29,316
Double scale
Find third proportional to 11,214 and 14,661
Similar ratio
Find third proportional to 16,818 and 21,987
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.