Home / 206,216-313,644

Finding the Third Proportional to 206,216 and 313,644

Calculator

Solution

The third proportional to 206,216 and 313,644 is: 477,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,216 : 313,644 = 313,644 : x
  2. Step 2: Convert to fraction form
    206,216/313,644 = 313,644/x
  3. Step 3: Cross multiply
    206,216x = 313,644 × 313,644
  4. Step 4: Simplify right side
    206,216x = 98,372,558,736
  5. Step 5: Solve for x
    x = 98,372,558,736/206,216
  6. Step 6: Final answer
    x = 477,036.50

Related Problems

Find third proportional to 103,108 and 156,822
Half scale
Find third proportional to 412,432 and 627,288
Double scale
Find third proportional to 206,218 and 313,647
Similar ratio
Find third proportional to 309,324 and 470,466
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.