Home / 195.38-311.63

Finding the Third Proportional to 195.38 and 311.63

Calculator

Solution

The third proportional to 195.38 and 311.63 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.38 : 311.63 = 311.63 : x
  2. Step 2: Convert to fraction form
    195.38/311.63 = 311.63/x
  3. Step 3: Cross multiply
    195.38x = 311.63 × 311.63
  4. Step 4: Simplify right side
    195.38x = 97,110.14
  5. Step 5: Solve for x
    x = 97,110.14/195.38
  6. Step 6: Final answer
    x = 497.04

Related Problems

Find third proportional to 97.69 and 155.81
Half scale
Find third proportional to 390.75 and 623.25
Double scale
Find third proportional to 197 and 315
Similar ratio
Find third proportional to 293.06 and 467.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.