Home / 259,730-414,929

Finding the Third Proportional to 259,730 and 414,929

Calculator

Solution

The third proportional to 259,730 and 414,929 is: 662,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,730 : 414,929 = 414,929 : x
  2. Step 2: Convert to fraction form
    259,730/414,929 = 414,929/x
  3. Step 3: Cross multiply
    259,730x = 414,929 × 414,929
  4. Step 4: Simplify right side
    259,730x = 172,166,075,041
  5. Step 5: Solve for x
    x = 172,166,075,041/259,730
  6. Step 6: Final answer
    x = 662,865.57

Related Problems

Find third proportional to 129,865 and 207,464.50
Half scale
Find third proportional to 519,460 and 829,858
Double scale
Find third proportional to 259,732 and 414,932
Similar ratio
Find third proportional to 389,595 and 622,393.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.