Home / 327,172-463,958

Finding the Third Proportional to 327,172 and 463,958

Calculator

Solution

The third proportional to 327,172 and 463,958 is: 657,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,172 : 463,958 = 463,958 : x
  2. Step 2: Convert to fraction form
    327,172/463,958 = 463,958/x
  3. Step 3: Cross multiply
    327,172x = 463,958 × 463,958
  4. Step 4: Simplify right side
    327,172x = 215,257,025,764
  5. Step 5: Solve for x
    x = 215,257,025,764/327,172
  6. Step 6: Final answer
    x = 657,932.30

Related Problems

Find third proportional to 163,586 and 231,979
Half scale
Find third proportional to 654,344 and 927,916
Double scale
Find third proportional to 327,174 and 463,961
Similar ratio
Find third proportional to 490,758 and 695,937
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.