Home / 317,760-465,948

Finding the Third Proportional to 317,760 and 465,948

Calculator

Solution

The third proportional to 317,760 and 465,948 is: 683,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,760 : 465,948 = 465,948 : x
  2. Step 2: Convert to fraction form
    317,760/465,948 = 465,948/x
  3. Step 3: Cross multiply
    317,760x = 465,948 × 465,948
  4. Step 4: Simplify right side
    317,760x = 217,107,538,704
  5. Step 5: Solve for x
    x = 217,107,538,704/317,760
  6. Step 6: Final answer
    x = 683,243.76

Related Problems

Find third proportional to 158,880 and 232,974
Half scale
Find third proportional to 635,520 and 931,896
Double scale
Find third proportional to 317,762 and 465,951
Similar ratio
Find third proportional to 476,640 and 698,922
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.