Home / 598.06-823.94

Finding the Third Proportional to 598.06 and 823.94

Calculator

Solution

The third proportional to 598.06 and 823.94 is: 1,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.06 : 823.94 = 823.94 : x
  2. Step 2: Convert to fraction form
    598.06/823.94 = 823.94/x
  3. Step 3: Cross multiply
    598.06x = 823.94 × 823.94
  4. Step 4: Simplify right side
    598.06x = 678,873.00
  5. Step 5: Solve for x
    x = 678,873.00/598.06
  6. Step 6: Final answer
    x = 1,135.12

Related Problems

Find third proportional to 299.03 and 411.97
Half scale
Find third proportional to 1,196.13 and 1,647.88
Double scale
Find third proportional to 600 and 827
Similar ratio
Find third proportional to 897.09 and 1,235.91
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.