Home / 208,196-447,964

Finding the Third Proportional to 208,196 and 447,964

Calculator

Solution

The third proportional to 208,196 and 447,964 is: 963,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,196 : 447,964 = 447,964 : x
  2. Step 2: Convert to fraction form
    208,196/447,964 = 447,964/x
  3. Step 3: Cross multiply
    208,196x = 447,964 × 447,964
  4. Step 4: Simplify right side
    208,196x = 200,671,745,296
  5. Step 5: Solve for x
    x = 200,671,745,296/208,196
  6. Step 6: Final answer
    x = 963,859.75

Related Problems

Find third proportional to 104,098 and 223,982
Half scale
Find third proportional to 416,392 and 895,928
Double scale
Find third proportional to 208,198 and 447,968
Similar ratio
Find third proportional to 312,294 and 671,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.