Home / 198,842-420,716

Finding the Third Proportional to 198,842 and 420,716

Calculator

Solution

The third proportional to 198,842 and 420,716 is: 890,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,842 : 420,716 = 420,716 : x
  2. Step 2: Convert to fraction form
    198,842/420,716 = 420,716/x
  3. Step 3: Cross multiply
    198,842x = 420,716 × 420,716
  4. Step 4: Simplify right side
    198,842x = 177,001,952,656
  5. Step 5: Solve for x
    x = 177,001,952,656/198,842
  6. Step 6: Final answer
    x = 890,163.81

Related Problems

Find third proportional to 99,421 and 210,358
Half scale
Find third proportional to 397,684 and 841,432
Double scale
Find third proportional to 198,844 and 420,720
Similar ratio
Find third proportional to 298,263 and 631,074
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.