Home / 301,024-663,968

Finding the Third Proportional to 301,024 and 663,968

Calculator

Solution

The third proportional to 301,024 and 663,968 is: 1,464,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024 : 663,968 = 663,968 : x
  2. Step 2: Convert to fraction form
    301,024/663,968 = 663,968/x
  3. Step 3: Cross multiply
    301,024x = 663,968 × 663,968
  4. Step 4: Simplify right side
    301,024x = 440,853,505,024
  5. Step 5: Solve for x
    x = 440,853,505,024/301,024
  6. Step 6: Final answer
    x = 1,464,512.81

Related Problems

Find third proportional to 150,512 and 331,984
Half scale
Find third proportional to 602,048 and 1,327,936
Double scale
Find third proportional to 301,026 and 663,972
Similar ratio
Find third proportional to 451,536 and 995,952
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.