Home / 509,682-809,724

Finding the Third Proportional to 509,682 and 809,724

Calculator

Solution

The third proportional to 509,682 and 809,724 is: 1,286,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,682 : 809,724 = 809,724 : x
  2. Step 2: Convert to fraction form
    509,682/809,724 = 809,724/x
  3. Step 3: Cross multiply
    509,682x = 809,724 × 809,724
  4. Step 4: Simplify right side
    509,682x = 655,652,956,176
  5. Step 5: Solve for x
    x = 655,652,956,176/509,682
  6. Step 6: Final answer
    x = 1,286,396.14

Related Problems

Find third proportional to 254,841 and 404,862
Half scale
Find third proportional to 1,019,364 and 1,619,448
Double scale
Find third proportional to 509,684 and 809,727
Similar ratio
Find third proportional to 764,523 and 1,214,586
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.