Home / 268,082-414,717

Finding the Third Proportional to 268,082 and 414,717

Calculator

Solution

The third proportional to 268,082 and 414,717 is: 641,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,082 : 414,717 = 414,717 : x
  2. Step 2: Convert to fraction form
    268,082/414,717 = 414,717/x
  3. Step 3: Cross multiply
    268,082x = 414,717 × 414,717
  4. Step 4: Simplify right side
    268,082x = 171,990,190,089
  5. Step 5: Solve for x
    x = 171,990,190,089/268,082
  6. Step 6: Final answer
    x = 641,558.14

Related Problems

Find third proportional to 134,041 and 207,358.50
Half scale
Find third proportional to 536,164 and 829,434
Double scale
Find third proportional to 268,084 and 414,720
Similar ratio
Find third proportional to 402,123 and 622,075.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.