Home / 337.50-509.63

Finding the Third Proportional to 337.50 and 509.63

Calculator

Solution

The third proportional to 337.50 and 509.63 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 509.63 = 509.63 : x
  2. Step 2: Convert to fraction form
    337.50/509.63 = 509.63/x
  3. Step 3: Cross multiply
    337.50x = 509.63 × 509.63
  4. Step 4: Simplify right side
    337.50x = 259,717.64
  5. Step 5: Solve for x
    x = 259,717.64/337.50
  6. Step 6: Final answer
    x = 769.53

Related Problems

Find third proportional to 168.75 and 254.81
Half scale
Find third proportional to 675 and 1,019.25
Double scale
Find third proportional to 340 and 513
Similar ratio
Find third proportional to 506.25 and 764.44
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.