Home / 113-231

Finding the Third Proportional to 113 and 231

Calculator

Solution

The third proportional to 113 and 231 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113 : 231 = 231 : x
  2. Step 2: Convert to fraction form
    113/231 = 231/x
  3. Step 3: Cross multiply
    113x = 231 × 231
  4. Step 4: Simplify right side
    113x = 53,361
  5. Step 5: Solve for x
    x = 53,361/113
  6. Step 6: Final answer
    x = 472.22

Related Problems

Find third proportional to 56.50 and 115.50
Half scale
Find third proportional to 226 and 462
Double scale
Find third proportional to 115 and 235
Similar ratio
Find third proportional to 169.50 and 346.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.