Home / 189,648-414,288

Finding the Third Proportional to 189,648 and 414,288

Calculator

Solution

The third proportional to 189,648 and 414,288 is: 905,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648 : 414,288 = 414,288 : x
  2. Step 2: Convert to fraction form
    189,648/414,288 = 414,288/x
  3. Step 3: Cross multiply
    189,648x = 414,288 × 414,288
  4. Step 4: Simplify right side
    189,648x = 171,634,546,944
  5. Step 5: Solve for x
    x = 171,634,546,944/189,648
  6. Step 6: Final answer
    x = 905,016.38

Related Problems

Find third proportional to 94,824 and 207,144
Half scale
Find third proportional to 379,296 and 828,576
Double scale
Find third proportional to 189,650 and 414,292
Similar ratio
Find third proportional to 284,472 and 621,432
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.