Home / 172,406-264,909

Finding the Third Proportional to 172,406 and 264,909

Calculator

Solution

The third proportional to 172,406 and 264,909 is: 407,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,406 : 264,909 = 264,909 : x
  2. Step 2: Convert to fraction form
    172,406/264,909 = 264,909/x
  3. Step 3: Cross multiply
    172,406x = 264,909 × 264,909
  4. Step 4: Simplify right side
    172,406x = 70,176,778,281
  5. Step 5: Solve for x
    x = 70,176,778,281/172,406
  6. Step 6: Final answer
    x = 407,043.71

Related Problems

Find third proportional to 86,203 and 132,454.50
Half scale
Find third proportional to 344,812 and 529,818
Double scale
Find third proportional to 172,408 and 264,912
Similar ratio
Find third proportional to 258,609 and 397,363.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.