Home / 269.50-408

Finding the Third Proportional to 269.50 and 408

Calculator

Solution

The third proportional to 269.50 and 408 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.50 : 408 = 408 : x
  2. Step 2: Convert to fraction form
    269.50/408 = 408/x
  3. Step 3: Cross multiply
    269.50x = 408 × 408
  4. Step 4: Simplify right side
    269.50x = 166,464
  5. Step 5: Solve for x
    x = 166,464/269.50
  6. Step 6: Final answer
    x = 617.68

Related Problems

Find third proportional to 134.75 and 204
Half scale
Find third proportional to 539 and 816
Double scale
Find third proportional to 272 and 411
Similar ratio
Find third proportional to 404.25 and 612
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.