Home / 213,888-299,019

Finding the Third Proportional to 213,888 and 299,019

Calculator

Solution

The third proportional to 213,888 and 299,019 is: 418,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,888 : 299,019 = 299,019 : x
  2. Step 2: Convert to fraction form
    213,888/299,019 = 299,019/x
  3. Step 3: Cross multiply
    213,888x = 299,019 × 299,019
  4. Step 4: Simplify right side
    213,888x = 89,412,362,361
  5. Step 5: Solve for x
    x = 89,412,362,361/213,888
  6. Step 6: Final answer
    x = 418,033.56

Related Problems

Find third proportional to 106,944 and 149,509.50
Half scale
Find third proportional to 427,776 and 598,038
Double scale
Find third proportional to 213,890 and 299,022
Similar ratio
Find third proportional to 320,832 and 448,528.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.