Home / 197-309

Finding the Third Proportional to 197 and 309

Calculator

Solution

The third proportional to 197 and 309 is: 484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    197/309 = 309/x
  3. Step 3: Cross multiply
    197x = 309 × 309
  4. Step 4: Simplify right side
    197x = 95,481
  5. Step 5: Solve for x
    x = 95,481/197
  6. Step 6: Final answer
    x = 484.68

Related Problems

Find third proportional to 98.50 and 154.50
Half scale
Find third proportional to 394 and 618
Double scale
Find third proportional to 199 and 312
Similar ratio
Find third proportional to 295.50 and 463.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.