Home / 344.50-462.25

Finding the Third Proportional to 344.50 and 462.25

Calculator

Solution

The third proportional to 344.50 and 462.25 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.50 : 462.25 = 462.25 : x
  2. Step 2: Convert to fraction form
    344.50/462.25 = 462.25/x
  3. Step 3: Cross multiply
    344.50x = 462.25 × 462.25
  4. Step 4: Simplify right side
    344.50x = 213,675.06
  5. Step 5: Solve for x
    x = 213,675.06/344.50
  6. Step 6: Final answer
    x = 620.25

Related Problems

Find third proportional to 172.25 and 231.13
Half scale
Find third proportional to 689 and 924.50
Double scale
Find third proportional to 347 and 465
Similar ratio
Find third proportional to 516.75 and 693.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.