Home / 99,711-211,410

Finding the Third Proportional to 99,711 and 211,410

Calculator

Solution

The third proportional to 99,711 and 211,410 is: 448,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 211,410 = 211,410 : x
  2. Step 2: Convert to fraction form
    99,711/211,410 = 211,410/x
  3. Step 3: Cross multiply
    99,711x = 211,410 × 211,410
  4. Step 4: Simplify right side
    99,711x = 44,694,188,100
  5. Step 5: Solve for x
    x = 44,694,188,100/99,711
  6. Step 6: Final answer
    x = 448,237.29

Related Problems

Find third proportional to 49,855.50 and 105,705
Half scale
Find third proportional to 199,422 and 422,820
Double scale
Find third proportional to 99,713 and 211,414
Similar ratio
Find third proportional to 149,566.50 and 317,115
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.