Home / 313,467-470,196

Finding the Third Proportional to 313,467 and 470,196

Calculator

Solution

The third proportional to 313,467 and 470,196 is: 705,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,467 : 470,196 = 470,196 : x
  2. Step 2: Convert to fraction form
    313,467/470,196 = 470,196/x
  3. Step 3: Cross multiply
    313,467x = 470,196 × 470,196
  4. Step 4: Simplify right side
    313,467x = 221,084,278,416
  5. Step 5: Solve for x
    x = 221,084,278,416/313,467
  6. Step 6: Final answer
    x = 705,287.25

Related Problems

Find third proportional to 156,733.50 and 235,098
Half scale
Find third proportional to 626,934 and 940,392
Double scale
Find third proportional to 313,469 and 470,199
Similar ratio
Find third proportional to 470,200.50 and 705,294
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.