Home / 209,066-451,664

Finding the Third Proportional to 209,066 and 451,664

Calculator

Solution

The third proportional to 209,066 and 451,664 is: 975,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,066 : 451,664 = 451,664 : x
  2. Step 2: Convert to fraction form
    209,066/451,664 = 451,664/x
  3. Step 3: Cross multiply
    209,066x = 451,664 × 451,664
  4. Step 4: Simplify right side
    209,066x = 204,000,368,896
  5. Step 5: Solve for x
    x = 204,000,368,896/209,066
  6. Step 6: Final answer
    x = 975,770.18

Related Problems

Find third proportional to 104,533 and 225,832
Half scale
Find third proportional to 418,132 and 903,328
Double scale
Find third proportional to 209,068 and 451,668
Similar ratio
Find third proportional to 313,599 and 677,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.