Home / 275,609-413,415

Finding the Third Proportional to 275,609 and 413,415

Calculator

Solution

The third proportional to 275,609 and 413,415 is: 620,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,609 : 413,415 = 413,415 : x
  2. Step 2: Convert to fraction form
    275,609/413,415 = 413,415/x
  3. Step 3: Cross multiply
    275,609x = 413,415 × 413,415
  4. Step 4: Simplify right side
    275,609x = 170,911,962,225
  5. Step 5: Solve for x
    x = 170,911,962,225/275,609
  6. Step 6: Final answer
    x = 620,124.75

Related Problems

Find third proportional to 137,804.50 and 206,707.50
Half scale
Find third proportional to 551,218 and 826,830
Double scale
Find third proportional to 275,611 and 413,418
Similar ratio
Find third proportional to 413,413.50 and 620,122.50
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.