Home / 362,614-509,739

Finding the Third Proportional to 362,614 and 509,739

Calculator

Solution

The third proportional to 362,614 and 509,739 is: 716,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,614 : 509,739 = 509,739 : x
  2. Step 2: Convert to fraction form
    362,614/509,739 = 509,739/x
  3. Step 3: Cross multiply
    362,614x = 509,739 × 509,739
  4. Step 4: Simplify right side
    362,614x = 259,833,848,121
  5. Step 5: Solve for x
    x = 259,833,848,121/362,614
  6. Step 6: Final answer
    x = 716,557.68

Related Problems

Find third proportional to 181,307 and 254,869.50
Half scale
Find third proportional to 725,228 and 1,019,478
Double scale
Find third proportional to 362,616 and 509,742
Similar ratio
Find third proportional to 543,921 and 764,608.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.