Home / 182-197.50

Finding the Third Proportional to 182 and 197.50

Calculator

Solution

The third proportional to 182 and 197.50 is: 214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182 : 197.50 = 197.50 : x
  2. Step 2: Convert to fraction form
    182/197.50 = 197.50/x
  3. Step 3: Cross multiply
    182x = 197.50 × 197.50
  4. Step 4: Simplify right side
    182x = 39,006.25
  5. Step 5: Solve for x
    x = 39,006.25/182
  6. Step 6: Final answer
    x = 214.32

Related Problems

Find third proportional to 91 and 98.75
Half scale
Find third proportional to 364 and 395
Double scale
Find third proportional to 184 and 200
Similar ratio
Find third proportional to 273 and 296.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.