Home / 520,078-825,214

Finding the Third Proportional to 520,078 and 825,214

Calculator

Solution

The third proportional to 520,078 and 825,214 is: 1,309,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078 : 825,214 = 825,214 : x
  2. Step 2: Convert to fraction form
    520,078/825,214 = 825,214/x
  3. Step 3: Cross multiply
    520,078x = 825,214 × 825,214
  4. Step 4: Simplify right side
    520,078x = 680,978,145,796
  5. Step 5: Solve for x
    x = 680,978,145,796/520,078
  6. Step 6: Final answer
    x = 1,309,376.95

Related Problems

Find third proportional to 260,039 and 412,607
Half scale
Find third proportional to 1,040,156 and 1,650,428
Double scale
Find third proportional to 520,080 and 825,217
Similar ratio
Find third proportional to 780,117 and 1,237,821
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.