Home / 344.25-420

Finding the Third Proportional to 344.25 and 420

Calculator

Solution

The third proportional to 344.25 and 420 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 420 = 420 : x
  2. Step 2: Convert to fraction form
    344.25/420 = 420/x
  3. Step 3: Cross multiply
    344.25x = 420 × 420
  4. Step 4: Simplify right side
    344.25x = 176,400
  5. Step 5: Solve for x
    x = 176,400/344.25
  6. Step 6: Final answer
    x = 512.42

Related Problems

Find third proportional to 172.13 and 210
Half scale
Find third proportional to 688.50 and 840
Double scale
Find third proportional to 346 and 422
Similar ratio
Find third proportional to 516.38 and 630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.