Home / 211,968-297,081

Finding the Third Proportional to 211,968 and 297,081

Calculator

Solution

The third proportional to 211,968 and 297,081 is: 416,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,968 : 297,081 = 297,081 : x
  2. Step 2: Convert to fraction form
    211,968/297,081 = 297,081/x
  3. Step 3: Cross multiply
    211,968x = 297,081 × 297,081
  4. Step 4: Simplify right side
    211,968x = 88,257,120,561
  5. Step 5: Solve for x
    x = 88,257,120,561/211,968
  6. Step 6: Final answer
    x = 416,370.02

Related Problems

Find third proportional to 105,984 and 148,540.50
Half scale
Find third proportional to 423,936 and 594,162
Double scale
Find third proportional to 211,970 and 297,084
Similar ratio
Find third proportional to 317,952 and 445,621.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.