Home / 211,323-309,398

Finding the Third Proportional to 211,323 and 309,398

Calculator

Solution

The third proportional to 211,323 and 309,398 is: 452,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,323 : 309,398 = 309,398 : x
  2. Step 2: Convert to fraction form
    211,323/309,398 = 309,398/x
  3. Step 3: Cross multiply
    211,323x = 309,398 × 309,398
  4. Step 4: Simplify right side
    211,323x = 95,727,122,404
  5. Step 5: Solve for x
    x = 95,727,122,404/211,323
  6. Step 6: Final answer
    x = 452,989.61

Related Problems

Find third proportional to 105,661.50 and 154,699
Half scale
Find third proportional to 422,646 and 618,796
Double scale
Find third proportional to 211,325 and 309,401
Similar ratio
Find third proportional to 316,984.50 and 464,097
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.