Home / 100,478-211,297

Finding the Third Proportional to 100,478 and 211,297

Calculator

Solution

The third proportional to 100,478 and 211,297 is: 444,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478 : 211,297 = 211,297 : x
  2. Step 2: Convert to fraction form
    100,478/211,297 = 211,297/x
  3. Step 3: Cross multiply
    100,478x = 211,297 × 211,297
  4. Step 4: Simplify right side
    100,478x = 44,646,422,209
  5. Step 5: Solve for x
    x = 44,646,422,209/100,478
  6. Step 6: Final answer
    x = 444,340.28

Related Problems

Find third proportional to 50,239 and 105,648.50
Half scale
Find third proportional to 200,956 and 422,594
Double scale
Find third proportional to 100,480 and 211,301
Similar ratio
Find third proportional to 150,717 and 316,945.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.