Home / 211,824-327,688

Finding the Third Proportional to 211,824 and 327,688

Calculator

Solution

The third proportional to 211,824 and 327,688 is: 506,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 327,688 = 327,688 : x
  2. Step 2: Convert to fraction form
    211,824/327,688 = 327,688/x
  3. Step 3: Cross multiply
    211,824x = 327,688 × 327,688
  4. Step 4: Simplify right side
    211,824x = 107,379,425,344
  5. Step 5: Solve for x
    x = 107,379,425,344/211,824
  6. Step 6: Final answer
    x = 506,927.57

Related Problems

Find third proportional to 105,912 and 163,844
Half scale
Find third proportional to 423,648 and 655,376
Double scale
Find third proportional to 211,826 and 327,691
Similar ratio
Find third proportional to 317,736 and 491,532
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.