Home / 414,072-582,948

Finding the Third Proportional to 414,072 and 582,948

Calculator

Solution

The third proportional to 414,072 and 582,948 is: 820,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,072 : 582,948 = 582,948 : x
  2. Step 2: Convert to fraction form
    414,072/582,948 = 582,948/x
  3. Step 3: Cross multiply
    414,072x = 582,948 × 582,948
  4. Step 4: Simplify right side
    414,072x = 339,828,370,704
  5. Step 5: Solve for x
    x = 339,828,370,704/414,072
  6. Step 6: Final answer
    x = 820,698.74

Related Problems

Find third proportional to 207,036 and 291,474
Half scale
Find third proportional to 828,144 and 1,165,896
Double scale
Find third proportional to 414,074 and 582,951
Similar ratio
Find third proportional to 621,108 and 874,422
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.