Home / 149,392-321,824

Finding the Third Proportional to 149,392 and 321,824

Calculator

Solution

The third proportional to 149,392 and 321,824 is: 693,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392 : 321,824 = 321,824 : x
  2. Step 2: Convert to fraction form
    149,392/321,824 = 321,824/x
  3. Step 3: Cross multiply
    149,392x = 321,824 × 321,824
  4. Step 4: Simplify right side
    149,392x = 103,570,686,976
  5. Step 5: Solve for x
    x = 103,570,686,976/149,392
  6. Step 6: Final answer
    x = 693,281.35

Related Problems

Find third proportional to 74,696 and 160,912
Half scale
Find third proportional to 298,784 and 643,648
Double scale
Find third proportional to 149,394 and 321,828
Similar ratio
Find third proportional to 224,088 and 482,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.