Home / 211-547

Finding the Third Proportional to 211 and 547

Calculator

Solution

The third proportional to 211 and 547 is: 1,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 547 = 547 : x
  2. Step 2: Convert to fraction form
    211/547 = 547/x
  3. Step 3: Cross multiply
    211x = 547 × 547
  4. Step 4: Simplify right side
    211x = 299,209
  5. Step 5: Solve for x
    x = 299,209/211
  6. Step 6: Final answer
    x = 1,418.05

Related Problems

Find third proportional to 105.50 and 273.50
Half scale
Find third proportional to 422 and 1,094
Double scale
Find third proportional to 213 and 552
Similar ratio
Find third proportional to 316.50 and 820.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.