Home / 337,948-523,098

Finding the Third Proportional to 337,948 and 523,098

Calculator

Solution

The third proportional to 337,948 and 523,098 is: 809,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,948 : 523,098 = 523,098 : x
  2. Step 2: Convert to fraction form
    337,948/523,098 = 523,098/x
  3. Step 3: Cross multiply
    337,948x = 523,098 × 523,098
  4. Step 4: Simplify right side
    337,948x = 273,631,517,604
  5. Step 5: Solve for x
    x = 273,631,517,604/337,948
  6. Step 6: Final answer
    x = 809,685.27

Related Problems

Find third proportional to 168,974 and 261,549
Half scale
Find third proportional to 675,896 and 1,046,196
Double scale
Find third proportional to 337,950 and 523,101
Similar ratio
Find third proportional to 506,922 and 784,647
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.