Home / 206,163-447,312

Finding the Third Proportional to 206,163 and 447,312

Calculator

Solution

The third proportional to 206,163 and 447,312 is: 970,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,163 : 447,312 = 447,312 : x
  2. Step 2: Convert to fraction form
    206,163/447,312 = 447,312/x
  3. Step 3: Cross multiply
    206,163x = 447,312 × 447,312
  4. Step 4: Simplify right side
    206,163x = 200,088,025,344
  5. Step 5: Solve for x
    x = 200,088,025,344/206,163
  6. Step 6: Final answer
    x = 970,533.15

Related Problems

Find third proportional to 103,081.50 and 223,656
Half scale
Find third proportional to 412,326 and 894,624
Double scale
Find third proportional to 206,165 and 447,316
Similar ratio
Find third proportional to 309,244.50 and 670,968
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.