Home / 99,002-214,420

Finding the Third Proportional to 99,002 and 214,420

Calculator

Solution

The third proportional to 99,002 and 214,420 is: 464,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,002 : 214,420 = 214,420 : x
  2. Step 2: Convert to fraction form
    99,002/214,420 = 214,420/x
  3. Step 3: Cross multiply
    99,002x = 214,420 × 214,420
  4. Step 4: Simplify right side
    99,002x = 45,975,936,400
  5. Step 5: Solve for x
    x = 45,975,936,400/99,002
  6. Step 6: Final answer
    x = 464,394.02

Related Problems

Find third proportional to 49,501 and 107,210
Half scale
Find third proportional to 198,004 and 428,840
Double scale
Find third proportional to 99,004 and 214,424
Similar ratio
Find third proportional to 148,503 and 321,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.