Home / 339.75-564.38

Finding the Third Proportional to 339.75 and 564.38

Calculator

Solution

The third proportional to 339.75 and 564.38 is: 937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 564.38 = 564.38 : x
  2. Step 2: Convert to fraction form
    339.75/564.38 = 564.38/x
  3. Step 3: Cross multiply
    339.75x = 564.38 × 564.38
  4. Step 4: Simplify right side
    339.75x = 318,519.14
  5. Step 5: Solve for x
    x = 318,519.14/339.75
  6. Step 6: Final answer
    x = 937.51

Related Problems

Find third proportional to 169.88 and 282.19
Half scale
Find third proportional to 679.50 and 1,128.75
Double scale
Find third proportional to 342 and 568
Similar ratio
Find third proportional to 509.63 and 846.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.