Home / 206,142-293,997

Finding the Third Proportional to 206,142 and 293,997

Calculator

Solution

The third proportional to 206,142 and 293,997 is: 419,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,142 : 293,997 = 293,997 : x
  2. Step 2: Convert to fraction form
    206,142/293,997 = 293,997/x
  3. Step 3: Cross multiply
    206,142x = 293,997 × 293,997
  4. Step 4: Simplify right side
    206,142x = 86,434,236,009
  5. Step 5: Solve for x
    x = 86,434,236,009/206,142
  6. Step 6: Final answer
    x = 419,294.64

Related Problems

Find third proportional to 103,071 and 146,998.50
Half scale
Find third proportional to 412,284 and 587,994
Double scale
Find third proportional to 206,144 and 294,000
Similar ratio
Find third proportional to 309,213 and 440,995.50
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.