Home / 111-138

Finding the Third Proportional to 111 and 138

Calculator

Solution

The third proportional to 111 and 138 is: 171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 138 = 138 : x
  2. Step 2: Convert to fraction form
    111/138 = 138/x
  3. Step 3: Cross multiply
    111x = 138 × 138
  4. Step 4: Simplify right side
    111x = 19,044
  5. Step 5: Solve for x
    x = 19,044/111
  6. Step 6: Final answer
    x = 171.57

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.