Home / 205,979-293,989

Finding the Third Proportional to 205,979 and 293,989

Calculator

Solution

The third proportional to 205,979 and 293,989 is: 419,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,979 : 293,989 = 293,989 : x
  2. Step 2: Convert to fraction form
    205,979/293,989 = 293,989/x
  3. Step 3: Cross multiply
    205,979x = 293,989 × 293,989
  4. Step 4: Simplify right side
    205,979x = 86,429,532,121
  5. Step 5: Solve for x
    x = 86,429,532,121/205,979
  6. Step 6: Final answer
    x = 419,603.61

Related Problems

Find third proportional to 102,989.50 and 146,994.50
Half scale
Find third proportional to 411,958 and 587,978
Double scale
Find third proportional to 205,981 and 293,992
Similar ratio
Find third proportional to 308,968.50 and 440,983.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.