Home / 509,722-809,784

Finding the Third Proportional to 509,722 and 809,784

Calculator

Solution

The third proportional to 509,722 and 809,784 is: 1,286,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722 : 809,784 = 809,784 : x
  2. Step 2: Convert to fraction form
    509,722/809,784 = 809,784/x
  3. Step 3: Cross multiply
    509,722x = 809,784 × 809,784
  4. Step 4: Simplify right side
    509,722x = 655,750,126,656
  5. Step 5: Solve for x
    x = 655,750,126,656/509,722
  6. Step 6: Final answer
    x = 1,286,485.82

Related Problems

Find third proportional to 254,861 and 404,892
Half scale
Find third proportional to 1,019,444 and 1,619,568
Double scale
Find third proportional to 509,724 and 809,787
Similar ratio
Find third proportional to 764,583 and 1,214,676
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.