Home / 154.50-205.13

Finding the Third Proportional to 154.50 and 205.13

Calculator

Solution

The third proportional to 154.50 and 205.13 is: 272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 205.13 = 205.13 : x
  2. Step 2: Convert to fraction form
    154.50/205.13 = 205.13/x
  3. Step 3: Cross multiply
    154.50x = 205.13 × 205.13
  4. Step 4: Simplify right side
    154.50x = 42,076.27
  5. Step 5: Solve for x
    x = 42,076.27/154.50
  6. Step 6: Final answer
    x = 272.34

Related Problems

Find third proportional to 77.25 and 102.56
Half scale
Find third proportional to 309 and 410.25
Double scale
Find third proportional to 157 and 208
Similar ratio
Find third proportional to 231.75 and 307.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.