Home / 165,978-259,331

Finding the Third Proportional to 165,978 and 259,331

Calculator

Solution

The third proportional to 165,978 and 259,331 is: 405,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,978 : 259,331 = 259,331 : x
  2. Step 2: Convert to fraction form
    165,978/259,331 = 259,331/x
  3. Step 3: Cross multiply
    165,978x = 259,331 × 259,331
  4. Step 4: Simplify right side
    165,978x = 67,252,567,561
  5. Step 5: Solve for x
    x = 67,252,567,561/165,978
  6. Step 6: Final answer
    x = 405,189.65

Related Problems

Find third proportional to 82,989 and 129,665.50
Half scale
Find third proportional to 331,956 and 518,662
Double scale
Find third proportional to 165,980 and 259,334
Similar ratio
Find third proportional to 248,967 and 388,996.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.