Home / 206,931-384,324

Finding the Third Proportional to 206,931 and 384,324

Calculator

Solution

The third proportional to 206,931 and 384,324 is: 713,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,931 : 384,324 = 384,324 : x
  2. Step 2: Convert to fraction form
    206,931/384,324 = 384,324/x
  3. Step 3: Cross multiply
    206,931x = 384,324 × 384,324
  4. Step 4: Simplify right side
    206,931x = 147,704,936,976
  5. Step 5: Solve for x
    x = 147,704,936,976/206,931
  6. Step 6: Final answer
    x = 713,788.35

Related Problems

Find third proportional to 103,465.50 and 192,162
Half scale
Find third proportional to 413,862 and 768,648
Double scale
Find third proportional to 206,933 and 384,328
Similar ratio
Find third proportional to 310,396.50 and 576,486
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.