Home / 199,098-421,515

Finding the Third Proportional to 199,098 and 421,515

Calculator

Solution

The third proportional to 199,098 and 421,515 is: 892,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,098 : 421,515 = 421,515 : x
  2. Step 2: Convert to fraction form
    199,098/421,515 = 421,515/x
  3. Step 3: Cross multiply
    199,098x = 421,515 × 421,515
  4. Step 4: Simplify right side
    199,098x = 177,674,895,225
  5. Step 5: Solve for x
    x = 177,674,895,225/199,098
  6. Step 6: Final answer
    x = 892,399.20

Related Problems

Find third proportional to 99,549 and 210,757.50
Half scale
Find third proportional to 398,196 and 843,030
Double scale
Find third proportional to 199,100 and 421,519
Similar ratio
Find third proportional to 298,647 and 632,272.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.