Home / 335,921-513,642

Finding the Third Proportional to 335,921 and 513,642

Calculator

Solution

The third proportional to 335,921 and 513,642 is: 785,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,921 : 513,642 = 513,642 : x
  2. Step 2: Convert to fraction form
    335,921/513,642 = 513,642/x
  3. Step 3: Cross multiply
    335,921x = 513,642 × 513,642
  4. Step 4: Simplify right side
    335,921x = 263,828,104,164
  5. Step 5: Solve for x
    x = 263,828,104,164/335,921
  6. Step 6: Final answer
    x = 785,387.35

Related Problems

Find third proportional to 167,960.50 and 256,821
Half scale
Find third proportional to 671,842 and 1,027,284
Double scale
Find third proportional to 335,923 and 513,645
Similar ratio
Find third proportional to 503,881.50 and 770,463
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.