Home / 218,109-470,589

Finding the Third Proportional to 218,109 and 470,589

Calculator

Solution

The third proportional to 218,109 and 470,589 is: 1,015,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109 : 470,589 = 470,589 : x
  2. Step 2: Convert to fraction form
    218,109/470,589 = 470,589/x
  3. Step 3: Cross multiply
    218,109x = 470,589 × 470,589
  4. Step 4: Simplify right side
    218,109x = 221,454,006,921
  5. Step 5: Solve for x
    x = 221,454,006,921/218,109
  6. Step 6: Final answer
    x = 1,015,336.40

Related Problems

Find third proportional to 109,054.50 and 235,294.50
Half scale
Find third proportional to 436,218 and 941,178
Double scale
Find third proportional to 218,111 and 470,593
Similar ratio
Find third proportional to 327,163.50 and 705,883.50
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.