Home / 98,289-202,410

Finding the Third Proportional to 98,289 and 202,410

Calculator

Solution

The third proportional to 98,289 and 202,410 is: 416,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,289 : 202,410 = 202,410 : x
  2. Step 2: Convert to fraction form
    98,289/202,410 = 202,410/x
  3. Step 3: Cross multiply
    98,289x = 202,410 × 202,410
  4. Step 4: Simplify right side
    98,289x = 40,969,808,100
  5. Step 5: Solve for x
    x = 40,969,808,100/98,289
  6. Step 6: Final answer
    x = 416,830.04

Related Problems

Find third proportional to 49,144.50 and 101,205
Half scale
Find third proportional to 196,578 and 404,820
Double scale
Find third proportional to 98,291 and 202,414
Similar ratio
Find third proportional to 147,433.50 and 303,615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.