Home / 100,920-214,794

Finding the Third Proportional to 100,920 and 214,794

Calculator

Solution

The third proportional to 100,920 and 214,794 is: 457,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,920 : 214,794 = 214,794 : x
  2. Step 2: Convert to fraction form
    100,920/214,794 = 214,794/x
  3. Step 3: Cross multiply
    100,920x = 214,794 × 214,794
  4. Step 4: Simplify right side
    100,920x = 46,136,462,436
  5. Step 5: Solve for x
    x = 46,136,462,436/100,920
  6. Step 6: Final answer
    x = 457,158.76

Related Problems

Find third proportional to 50,460 and 107,397
Half scale
Find third proportional to 201,840 and 429,588
Double scale
Find third proportional to 100,922 and 214,798
Similar ratio
Find third proportional to 151,380 and 322,191
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.