Home / 207-427

Finding the Third Proportional to 207 and 427

Calculator

Solution

The third proportional to 207 and 427 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207 : 427 = 427 : x
  2. Step 2: Convert to fraction form
    207/427 = 427/x
  3. Step 3: Cross multiply
    207x = 427 × 427
  4. Step 4: Simplify right side
    207x = 182,329
  5. Step 5: Solve for x
    x = 182,329/207
  6. Step 6: Final answer
    x = 880.82

Related Problems

Find third proportional to 103.50 and 213.50
Half scale
Find third proportional to 414 and 854
Double scale
Find third proportional to 209 and 431
Similar ratio
Find third proportional to 310.50 and 640.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.