Home / 296,082-419,121

Finding the Third Proportional to 296,082 and 419,121

Calculator

Solution

The third proportional to 296,082 and 419,121 is: 593,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082 : 419,121 = 419,121 : x
  2. Step 2: Convert to fraction form
    296,082/419,121 = 419,121/x
  3. Step 3: Cross multiply
    296,082x = 419,121 × 419,121
  4. Step 4: Simplify right side
    296,082x = 175,662,412,641
  5. Step 5: Solve for x
    x = 175,662,412,641/296,082
  6. Step 6: Final answer
    x = 593,289.74

Related Problems

Find third proportional to 148,041 and 209,560.50
Half scale
Find third proportional to 592,164 and 838,242
Double scale
Find third proportional to 296,084 and 419,124
Similar ratio
Find third proportional to 444,123 and 628,681.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.