Home / 348.38-509.25

Finding the Third Proportional to 348.38 and 509.25

Calculator

Solution

The third proportional to 348.38 and 509.25 is: 744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 509.25 = 509.25 : x
  2. Step 2: Convert to fraction form
    348.38/509.25 = 509.25/x
  3. Step 3: Cross multiply
    348.38x = 509.25 × 509.25
  4. Step 4: Simplify right side
    348.38x = 259,335.56
  5. Step 5: Solve for x
    x = 259,335.56/348.38
  6. Step 6: Final answer
    x = 744.41

Related Problems

Find third proportional to 174.19 and 254.63
Half scale
Find third proportional to 696.75 and 1,018.50
Double scale
Find third proportional to 350 and 512
Similar ratio
Find third proportional to 522.56 and 763.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.