Home / 281,942-412,329

Finding the Third Proportional to 281,942 and 412,329

Calculator

Solution

The third proportional to 281,942 and 412,329 is: 603,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,942 : 412,329 = 412,329 : x
  2. Step 2: Convert to fraction form
    281,942/412,329 = 412,329/x
  3. Step 3: Cross multiply
    281,942x = 412,329 × 412,329
  4. Step 4: Simplify right side
    281,942x = 170,015,204,241
  5. Step 5: Solve for x
    x = 170,015,204,241/281,942
  6. Step 6: Final answer
    x = 603,014.82

Related Problems

Find third proportional to 140,971 and 206,164.50
Half scale
Find third proportional to 563,884 and 824,658
Double scale
Find third proportional to 281,944 and 412,332
Similar ratio
Find third proportional to 422,913 and 618,493.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.