Home / 205,416-430,704

Finding the Third Proportional to 205,416 and 430,704

Calculator

Solution

The third proportional to 205,416 and 430,704 is: 903,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416 : 430,704 = 430,704 : x
  2. Step 2: Convert to fraction form
    205,416/430,704 = 430,704/x
  3. Step 3: Cross multiply
    205,416x = 430,704 × 430,704
  4. Step 4: Simplify right side
    205,416x = 185,505,935,616
  5. Step 5: Solve for x
    x = 185,505,935,616/205,416
  6. Step 6: Final answer
    x = 903,074.42

Related Problems

Find third proportional to 102,708 and 215,352
Half scale
Find third proportional to 410,832 and 861,408
Double scale
Find third proportional to 205,418 and 430,708
Similar ratio
Find third proportional to 308,124 and 646,056
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.