Home / 131,864-209,649

Finding the Third Proportional to 131,864 and 209,649

Calculator

Solution

The third proportional to 131,864 and 209,649 is: 333,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,864 : 209,649 = 209,649 : x
  2. Step 2: Convert to fraction form
    131,864/209,649 = 209,649/x
  3. Step 3: Cross multiply
    131,864x = 209,649 × 209,649
  4. Step 4: Simplify right side
    131,864x = 43,952,703,201
  5. Step 5: Solve for x
    x = 43,952,703,201/131,864
  6. Step 6: Final answer
    x = 333,318.44

Related Problems

Find third proportional to 65,932 and 104,824.50
Half scale
Find third proportional to 263,728 and 419,298
Double scale
Find third proportional to 131,866 and 209,652
Similar ratio
Find third proportional to 197,796 and 314,473.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.