Home / 410,146-642,100

Finding the Third Proportional to 410,146 and 642,100

Calculator

Solution

The third proportional to 410,146 and 642,100 is: 1,005,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,146 : 642,100 = 642,100 : x
  2. Step 2: Convert to fraction form
    410,146/642,100 = 642,100/x
  3. Step 3: Cross multiply
    410,146x = 642,100 × 642,100
  4. Step 4: Simplify right side
    410,146x = 412,292,410,000
  5. Step 5: Solve for x
    x = 412,292,410,000/410,146
  6. Step 6: Final answer
    x = 1,005,233.28

Related Problems

Find third proportional to 205,073 and 321,050
Half scale
Find third proportional to 820,292 and 1,284,200
Double scale
Find third proportional to 410,148 and 642,103
Similar ratio
Find third proportional to 615,219 and 963,150
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.