Home / 309,024-463,228

Finding the Third Proportional to 309,024 and 463,228

Calculator

Solution

The third proportional to 309,024 and 463,228 is: 694,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,024 : 463,228 = 463,228 : x
  2. Step 2: Convert to fraction form
    309,024/463,228 = 463,228/x
  3. Step 3: Cross multiply
    309,024x = 463,228 × 463,228
  4. Step 4: Simplify right side
    309,024x = 214,580,179,984
  5. Step 5: Solve for x
    x = 214,580,179,984/309,024
  6. Step 6: Final answer
    x = 694,380.31

Related Problems

Find third proportional to 154,512 and 231,614
Half scale
Find third proportional to 618,048 and 926,456
Double scale
Find third proportional to 309,026 and 463,231
Similar ratio
Find third proportional to 463,536 and 694,842
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.