Home / 97.50-199.50

Finding the Third Proportional to 97.50 and 199.50

Calculator

Solution

The third proportional to 97.50 and 199.50 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 199.50 = 199.50 : x
  2. Step 2: Convert to fraction form
    97.50/199.50 = 199.50/x
  3. Step 3: Cross multiply
    97.50x = 199.50 × 199.50
  4. Step 4: Simplify right side
    97.50x = 39,800.25
  5. Step 5: Solve for x
    x = 39,800.25/97.50
  6. Step 6: Final answer
    x = 408.21

Related Problems

Find third proportional to 48.75 and 99.75
Half scale
Find third proportional to 195 and 399
Double scale
Find third proportional to 100 and 204
Similar ratio
Find third proportional to 146.25 and 299.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.