Home / 106.50-234

Finding the Third Proportional to 106.50 and 234

Calculator

Solution

The third proportional to 106.50 and 234 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 234 = 234 : x
  2. Step 2: Convert to fraction form
    106.50/234 = 234/x
  3. Step 3: Cross multiply
    106.50x = 234 × 234
  4. Step 4: Simplify right side
    106.50x = 54,756
  5. Step 5: Solve for x
    x = 54,756/106.50
  6. Step 6: Final answer
    x = 514.14

Related Problems

Find third proportional to 53.25 and 117
Half scale
Find third proportional to 213 and 468
Double scale
Find third proportional to 109 and 238
Similar ratio
Find third proportional to 159.75 and 351
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.