Home / 97,813-214,329

Finding the Third Proportional to 97,813 and 214,329

Calculator

Solution

The third proportional to 97,813 and 214,329 is: 469,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,813 : 214,329 = 214,329 : x
  2. Step 2: Convert to fraction form
    97,813/214,329 = 214,329/x
  3. Step 3: Cross multiply
    97,813x = 214,329 × 214,329
  4. Step 4: Simplify right side
    97,813x = 45,936,920,241
  5. Step 5: Solve for x
    x = 45,936,920,241/97,813
  6. Step 6: Final answer
    x = 469,640.23

Related Problems

Find third proportional to 48,906.50 and 107,164.50
Half scale
Find third proportional to 195,626 and 428,658
Double scale
Find third proportional to 97,815 and 214,333
Similar ratio
Find third proportional to 146,719.50 and 321,493.50
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.