Home / 299,108-459,747

Finding the Third Proportional to 299,108 and 459,747

Calculator

Solution

The third proportional to 299,108 and 459,747 is: 706,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,108 : 459,747 = 459,747 : x
  2. Step 2: Convert to fraction form
    299,108/459,747 = 459,747/x
  3. Step 3: Cross multiply
    299,108x = 459,747 × 459,747
  4. Step 4: Simplify right side
    299,108x = 211,367,304,009
  5. Step 5: Solve for x
    x = 211,367,304,009/299,108
  6. Step 6: Final answer
    x = 706,658.81

Related Problems

Find third proportional to 149,554 and 229,873.50
Half scale
Find third proportional to 598,216 and 919,494
Double scale
Find third proportional to 299,110 and 459,750
Similar ratio
Find third proportional to 448,662 and 689,620.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.