Home / 106-237

Finding the Third Proportional to 106 and 237

Calculator

Solution

The third proportional to 106 and 237 is: 529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 237 = 237 : x
  2. Step 2: Convert to fraction form
    106/237 = 237/x
  3. Step 3: Cross multiply
    106x = 237 × 237
  4. Step 4: Simplify right side
    106x = 56,169
  5. Step 5: Solve for x
    x = 56,169/106
  6. Step 6: Final answer
    x = 529.90

Related Problems

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.