Home / 99,830-218,416

Finding the Third Proportional to 99,830 and 218,416

Calculator

Solution

The third proportional to 99,830 and 218,416 is: 477,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830 : 218,416 = 218,416 : x
  2. Step 2: Convert to fraction form
    99,830/218,416 = 218,416/x
  3. Step 3: Cross multiply
    99,830x = 218,416 × 218,416
  4. Step 4: Simplify right side
    99,830x = 47,705,549,056
  5. Step 5: Solve for x
    x = 47,705,549,056/99,830
  6. Step 6: Final answer
    x = 477,867.87

Related Problems

Find third proportional to 49,915 and 109,208
Half scale
Find third proportional to 199,660 and 436,832
Double scale
Find third proportional to 99,832 and 218,420
Similar ratio
Find third proportional to 149,745 and 327,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.