Home / 211,820-327,682

Finding the Third Proportional to 211,820 and 327,682

Calculator

Solution

The third proportional to 211,820 and 327,682 is: 506,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,820 : 327,682 = 327,682 : x
  2. Step 2: Convert to fraction form
    211,820/327,682 = 327,682/x
  3. Step 3: Cross multiply
    211,820x = 327,682 × 327,682
  4. Step 4: Simplify right side
    211,820x = 107,375,493,124
  5. Step 5: Solve for x
    x = 107,375,493,124/211,820
  6. Step 6: Final answer
    x = 506,918.58

Related Problems

Find third proportional to 105,910 and 163,841
Half scale
Find third proportional to 423,640 and 655,364
Double scale
Find third proportional to 211,822 and 327,685
Similar ratio
Find third proportional to 317,730 and 491,523
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.