Home / 193,000-421,720

Finding the Third Proportional to 193,000 and 421,720

Calculator

Solution

The third proportional to 193,000 and 421,720 is: 921,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,000 : 421,720 = 421,720 : x
  2. Step 2: Convert to fraction form
    193,000/421,720 = 421,720/x
  3. Step 3: Cross multiply
    193,000x = 421,720 × 421,720
  4. Step 4: Simplify right side
    193,000x = 177,847,758,400
  5. Step 5: Solve for x
    x = 177,847,758,400/193,000
  6. Step 6: Final answer
    x = 921,490.98

Related Problems

Find third proportional to 96,500 and 210,860
Half scale
Find third proportional to 386,000 and 843,440
Double scale
Find third proportional to 193,002 and 421,724
Similar ratio
Find third proportional to 289,500 and 632,580
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.