Home / 193,148-298,462

Finding the Third Proportional to 193,148 and 298,462

Calculator

Solution

The third proportional to 193,148 and 298,462 is: 461,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,148 : 298,462 = 298,462 : x
  2. Step 2: Convert to fraction form
    193,148/298,462 = 298,462/x
  3. Step 3: Cross multiply
    193,148x = 298,462 × 298,462
  4. Step 4: Simplify right side
    193,148x = 89,079,565,444
  5. Step 5: Solve for x
    x = 89,079,565,444/193,148
  6. Step 6: Final answer
    x = 461,198.49

Related Problems

Find third proportional to 96,574 and 149,231
Half scale
Find third proportional to 386,296 and 596,924
Double scale
Find third proportional to 193,150 and 298,465
Similar ratio
Find third proportional to 289,722 and 447,693
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.