Home / 262,948-427,209

Finding the Third Proportional to 262,948 and 427,209

Calculator

Solution

The third proportional to 262,948 and 427,209 is: 694,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,948 : 427,209 = 427,209 : x
  2. Step 2: Convert to fraction form
    262,948/427,209 = 427,209/x
  3. Step 3: Cross multiply
    262,948x = 427,209 × 427,209
  4. Step 4: Simplify right side
    262,948x = 182,507,529,681
  5. Step 5: Solve for x
    x = 182,507,529,681/262,948
  6. Step 6: Final answer
    x = 694,082.21

Related Problems

Find third proportional to 131,474 and 213,604.50
Half scale
Find third proportional to 525,896 and 854,418
Double scale
Find third proportional to 262,950 and 427,212
Similar ratio
Find third proportional to 394,422 and 640,813.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.