Home / 309,874-656,948

Finding the Third Proportional to 309,874 and 656,948

Calculator

Solution

The third proportional to 309,874 and 656,948 is: 1,392,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,874 : 656,948 = 656,948 : x
  2. Step 2: Convert to fraction form
    309,874/656,948 = 656,948/x
  3. Step 3: Cross multiply
    309,874x = 656,948 × 656,948
  4. Step 4: Simplify right side
    309,874x = 431,580,674,704
  5. Step 5: Solve for x
    x = 431,580,674,704/309,874
  6. Step 6: Final answer
    x = 1,392,761.82

Related Problems

Find third proportional to 154,937 and 328,474
Half scale
Find third proportional to 619,748 and 1,313,896
Double scale
Find third proportional to 309,876 and 656,952
Similar ratio
Find third proportional to 464,811 and 985,422
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.