Home / 213,618-461,011

Finding the Third Proportional to 213,618 and 461,011

Calculator

Solution

The third proportional to 213,618 and 461,011 is: 994,912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,618 : 461,011 = 461,011 : x
  2. Step 2: Convert to fraction form
    213,618/461,011 = 461,011/x
  3. Step 3: Cross multiply
    213,618x = 461,011 × 461,011
  4. Step 4: Simplify right side
    213,618x = 212,531,142,121
  5. Step 5: Solve for x
    x = 212,531,142,121/213,618
  6. Step 6: Final answer
    x = 994,912.14

Related Problems

Find third proportional to 106,809 and 230,505.50
Half scale
Find third proportional to 427,236 and 922,022
Double scale
Find third proportional to 213,620 and 461,015
Similar ratio
Find third proportional to 320,427 and 691,516.50
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.