Home / 305,708-407,720

Finding the Third Proportional to 305,708 and 407,720

Calculator

Solution

The third proportional to 305,708 and 407,720 is: 543,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,708 : 407,720 = 407,720 : x
  2. Step 2: Convert to fraction form
    305,708/407,720 = 407,720/x
  3. Step 3: Cross multiply
    305,708x = 407,720 × 407,720
  4. Step 4: Simplify right side
    305,708x = 166,235,598,400
  5. Step 5: Solve for x
    x = 166,235,598,400/305,708
  6. Step 6: Final answer
    x = 543,772.48

Related Problems

Find third proportional to 152,854 and 203,860
Half scale
Find third proportional to 611,416 and 815,440
Double scale
Find third proportional to 305,710 and 407,723
Similar ratio
Find third proportional to 458,562 and 611,580
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.