Home / 46,412-100,213

Finding the Third Proportional to 46,412 and 100,213

Calculator

Solution

The third proportional to 46,412 and 100,213 is: 216,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,412 : 100,213 = 100,213 : x
  2. Step 2: Convert to fraction form
    46,412/100,213 = 100,213/x
  3. Step 3: Cross multiply
    46,412x = 100,213 × 100,213
  4. Step 4: Simplify right side
    46,412x = 10,042,645,369
  5. Step 5: Solve for x
    x = 10,042,645,369/46,412
  6. Step 6: Final answer
    x = 216,380.36

Related Problems

Find third proportional to 23,206 and 50,106.50
Half scale
Find third proportional to 92,824 and 200,426
Double scale
Find third proportional to 46,414 and 100,217
Similar ratio
Find third proportional to 69,618 and 150,319.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.