Home / 142.50-204.75

Finding the Third Proportional to 142.50 and 204.75

Calculator

Solution

The third proportional to 142.50 and 204.75 is: 294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 204.75 = 204.75 : x
  2. Step 2: Convert to fraction form
    142.50/204.75 = 204.75/x
  3. Step 3: Cross multiply
    142.50x = 204.75 × 204.75
  4. Step 4: Simplify right side
    142.50x = 41,922.56
  5. Step 5: Solve for x
    x = 41,922.56/142.50
  6. Step 6: Final answer
    x = 294.19

Related Problems

Find third proportional to 71.25 and 102.38
Half scale
Find third proportional to 285 and 409.50
Double scale
Find third proportional to 145 and 208
Similar ratio
Find third proportional to 213.75 and 307.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.