Home / 269-344

Finding the Third Proportional to 269 and 344

Calculator

Solution

The third proportional to 269 and 344 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 344 = 344 : x
  2. Step 2: Convert to fraction form
    269/344 = 344/x
  3. Step 3: Cross multiply
    269x = 344 × 344
  4. Step 4: Simplify right side
    269x = 118,336
  5. Step 5: Solve for x
    x = 118,336/269
  6. Step 6: Final answer
    x = 439.91

Related Problems

Find third proportional to 134.50 and 172
Half scale
Find third proportional to 538 and 688
Double scale
Find third proportional to 271 and 347
Similar ratio
Find third proportional to 403.50 and 516
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.