Home / 193-442

Finding the Third Proportional to 193 and 442

Calculator

Solution

The third proportional to 193 and 442 is: 1,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193 : 442 = 442 : x
  2. Step 2: Convert to fraction form
    193/442 = 442/x
  3. Step 3: Cross multiply
    193x = 442 × 442
  4. Step 4: Simplify right side
    193x = 195,364
  5. Step 5: Solve for x
    x = 195,364/193
  6. Step 6: Final answer
    x = 1,012.25

Related Problems

Find third proportional to 96.50 and 221
Half scale
Find third proportional to 386 and 884
Double scale
Find third proportional to 195 and 447
Similar ratio
Find third proportional to 289.50 and 663
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.