Home / 165,067-343,049

Finding the Third Proportional to 165,067 and 343,049

Calculator

Solution

The third proportional to 165,067 and 343,049 is: 712,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067 : 343,049 = 343,049 : x
  2. Step 2: Convert to fraction form
    165,067/343,049 = 343,049/x
  3. Step 3: Cross multiply
    165,067x = 343,049 × 343,049
  4. Step 4: Simplify right side
    165,067x = 117,682,616,401
  5. Step 5: Solve for x
    x = 117,682,616,401/165,067
  6. Step 6: Final answer
    x = 712,938.48

Related Problems

Find third proportional to 82,533.50 and 171,524.50
Half scale
Find third proportional to 330,134 and 686,098
Double scale
Find third proportional to 165,069 and 343,053
Similar ratio
Find third proportional to 247,600.50 and 514,573.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.