Home / 193-362

Finding the Third Proportional to 193 and 362

Calculator

Solution

The third proportional to 193 and 362 is: 678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 362 = 362 : x
  2. Step 2: Convert to fraction form
    193/362 = 362/x
  3. Step 3: Cross multiply
    193x = 362 × 362
  4. Step 4: Simplify right side
    193x = 131,044
  5. Step 5: Solve for x
    x = 131,044/193
  6. Step 6: Final answer
    x = 678.98

Related Problems

Find third proportional to 96.50 and 181
Half scale
Find third proportional to 386 and 724
Double scale
Find third proportional to 195 and 366
Similar ratio
Find third proportional to 289.50 and 543
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.