Home / 202,078-311,542

Finding the Third Proportional to 202,078 and 311,542

Calculator

Solution

The third proportional to 202,078 and 311,542 is: 480,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078 : 311,542 = 311,542 : x
  2. Step 2: Convert to fraction form
    202,078/311,542 = 311,542/x
  3. Step 3: Cross multiply
    202,078x = 311,542 × 311,542
  4. Step 4: Simplify right side
    202,078x = 97,058,417,764
  5. Step 5: Solve for x
    x = 97,058,417,764/202,078
  6. Step 6: Final answer
    x = 480,301.75

Related Problems

Find third proportional to 101,039 and 155,771
Half scale
Find third proportional to 404,156 and 623,084
Double scale
Find third proportional to 202,080 and 311,545
Similar ratio
Find third proportional to 303,117 and 467,313
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.