Home / 189,040-412,747

Finding the Third Proportional to 189,040 and 412,747

Calculator

Solution

The third proportional to 189,040 and 412,747 is: 901,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,040 : 412,747 = 412,747 : x
  2. Step 2: Convert to fraction form
    189,040/412,747 = 412,747/x
  3. Step 3: Cross multiply
    189,040x = 412,747 × 412,747
  4. Step 4: Simplify right side
    189,040x = 170,360,086,009
  5. Step 5: Solve for x
    x = 170,360,086,009/189,040
  6. Step 6: Final answer
    x = 901,185.39

Related Problems

Find third proportional to 94,520 and 206,373.50
Half scale
Find third proportional to 378,080 and 825,494
Double scale
Find third proportional to 189,042 and 412,751
Similar ratio
Find third proportional to 283,560 and 619,120.50
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.