Home / 209,167-314,227

Finding the Third Proportional to 209,167 and 314,227

Calculator

Solution

The third proportional to 209,167 and 314,227 is: 472,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,167 : 314,227 = 314,227 : x
  2. Step 2: Convert to fraction form
    209,167/314,227 = 314,227/x
  3. Step 3: Cross multiply
    209,167x = 314,227 × 314,227
  4. Step 4: Simplify right side
    209,167x = 98,738,607,529
  5. Step 5: Solve for x
    x = 98,738,607,529/209,167
  6. Step 6: Final answer
    x = 472,056.34

Related Problems

Find third proportional to 104,583.50 and 157,113.50
Half scale
Find third proportional to 418,334 and 628,454
Double scale
Find third proportional to 209,169 and 314,230
Similar ratio
Find third proportional to 313,750.50 and 471,340.50
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.