Home / 305,108-461,604

Finding the Third Proportional to 305,108 and 461,604

Calculator

Solution

The third proportional to 305,108 and 461,604 is: 698,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,108 : 461,604 = 461,604 : x
  2. Step 2: Convert to fraction form
    305,108/461,604 = 461,604/x
  3. Step 3: Cross multiply
    305,108x = 461,604 × 461,604
  4. Step 4: Simplify right side
    305,108x = 213,078,252,816
  5. Step 5: Solve for x
    x = 213,078,252,816/305,108
  6. Step 6: Final answer
    x = 698,369.93

Related Problems

Find third proportional to 152,554 and 230,802
Half scale
Find third proportional to 610,216 and 923,208
Double scale
Find third proportional to 305,110 and 461,607
Similar ratio
Find third proportional to 457,662 and 692,406
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.